Question

2x+5y=16

x-8y=-13
What is the
x
-value of the solution to the system of equations?

Answer 1

• Value of x is 3
• Value of y is 2

Explaination :

Here we have been given with two equations and we have to calculate the values of x and y. So we would be using elimination method.

• 2x + 5y = 16 (Equation No 1)
• x - 8y = -13 (Equation No 2)

★ From Equation No 2:-

>> x - 8y = -13

>> x = 8y - 13

★ In Equation No 1:-

Substituting the value of x which we got above as (8y - 13) here.

>> 2x + 5y = 16

>> 2 (8y - 13) + 5y = 16

>> 2 × (8y - 13) + 5y = 16

>> 16y - 26 + 5y = 16

>> 21y - 26 = 16

>> 21y = 26 + 16

>> 21y = 42

>> y = 42 / 21

>> y = 6 / 3

>> y = 2

★ Finding out value of x:-

>> x = 8y - 13

>> x = 8 (2) - 13

>> x = 16 - 13

>> x = 3