Question

Which ordered pair is the solution to the system of linear equations y=-7x+2 and y= 9x-14

Answer 1

(1,-5)

Explanation:

Answer 2

The ordered pair which is solution to given linear equations are (x, y) = (1, -5)

Solution:

Given two linear equations are:

y = -7x + 2 ---- eqn 1

y = 9x - 14 ---- eqn 2

We can solve the equations by substitution method

Substitute eqn 2 in eqn 1

9x - 14 = -7x + 2

9x + 7x = 14 + 2

16x = 16

`x = (16)/(16) = 1`

x = 1

Substitute x = 1 in eqn 1

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

Thus the ordered pair which is solution to given linear equations are (x, y) = (1, -5)