In this page substitution method questions 3 we are going to see solution of first question in the worksheet of substitution method.

**What does mean by substitution method :**

Solving system of equation by substitution method, involves solving any one of the given equation for either 'x' or 'y' and plugging that in the other equation and solve that equation for another variable.substitution method questions 3

**Step 1 :**

Solve any one of the equations either x = or y =

**Step 2 :**

Substitute the value that we got from step 1 in the other equation.

**Step 3 :**

Now we have got the value of any one of the variables x or y.

**Step 4 :**

Apply this value in step 1 in order to get the value of other variable.

Let us see the following example problem to understand the substitution method. Substitution method questions 3

**Question 3 :**

Solve the following equations by substitution method

y = 6x - 11 and -2x - 3y = -7

**Solution :**

**y = 6x - 11 ------(1)**

**-2x - 3y = -7 ****------(2)**

**Substitute the value of y in the second equation, we get**

**-2x - 3(6x - 11) = -7**

**-2x - 18x + 33 = -7**

**-20x + 33 = -7**

**Subtract 33 on both sides**

**-20x + 33 - 33 = -7 - 33**

**-20x = -40**

**Divide by -20 on both sides**

**-20x/(-20) = -40/(-20)**

**x = 2**** **

**Substitute x = 2 in the first equation, we get**

**y = 6(2) - 11 **

**y = 12 - 11 ==> 1**

**Hence x = 2 and y = 1 is the solution**

Question 1 :

Solve the following equations by substitution method

5 x - 3 y - 8 = 0 and 2x - 3 y - 5 = 0

Question 2 :

Solve the following equations using substitution method

5x - 3y - 8 = 0 and 2x - 3y - 5 = 0

Question 3 :

Solve the following equations by substitution method

y = 6x - 11 and -2x - 3y = -7

Question 4 :

Solve the following equations by substitution method

2x − 3y = −1 and y = x − 1

Question 5 :

Solve the following equations by substitution method

y = −3x + 5 and 5x − 4y = −3

Question 6 :

Solve the following equations by substitution method

−3x − 3y = 3 and y = −5x − 17

Question 7 :

Solve the following equations by substitution method

y = 5x − 7 and −3x − 2y = −12

Question 8 :

Solve the following equations by substitution method

−4x + y = 6 and −5x − y = 21

Question 9 :

Solve the following equations by substitution method

2x + y = 20 and 6x − 5y = 12

Question 10 :

Solve the following equations by substitution method

y = −2 and 4x − 3y = 18

After having gone through the stuff given above, we hope that the students would have understood "Substitution method questions 3".

Apart from the stuff given above, if you want to know more about "Substitution method questions 3", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**