Question

Solve the system of linear equations below.

y = -2x + 19
y = x + 7

Answer 1

a. x=4, y=11

Explanation:

Answer 2

A.)
`x=4,y=11`

Explanation:

Given Equations:

`y = -2x + 19` Equation:1

`y = x + 7` Equation:2

Solving Equation:2 for 'x'

`x=y-7` Equation:3

Using Substitution method, Putting 'x' in Equation:1

`y = -2(y-7) + 19\\y=-2y+14+19\\y=-2y+33\\y+2y=33\\3y=33\\\\y=(33)/(3)\\\\ y=11`

Putting value of 'y' in Equation:3

`x=y-7`

`x=11-7`

`x=4`

`x=4,y=11`