Question

Plz help me thanks so muchhhhh

Answer 1

Hi there.

The answer is (-2,7). The second choice.

Step-by-step explanation:

We can use the graph method or the solving method.

For the graph method, find where both graphs intercept and that is x = - 2 y = 7.

But if you don't use the graph method. We can solve the equation.

`y = 0.5x+ 8 \\ y = (5)/(10) x + 8 \\ y = (1)/(2) x + 8`

Convert the expressions in simplified form.

Then combine both equations.

`(1)/(2)x + 8 = 5 - x`

Because there is the denominator. We get rid of it.

Multiply the whole equation by 2.

`(1)/(2) x(2) + 8(2) = 5(2) - x(2) \\ x + 16 = 10 - 2x \\ 3x = 10 - 16 \\ 3x = - 6 \\ x = - 2`

Since it is the two variables linear equations, we need to find y-value too.

Substitute x = -2 in any given equations.

I will substitute x = -2 in y = 5-x

`y = 5 - x \\`

Substitute x = -2 in the equation.

`y = 5 - ( - 2) \\ y = 5 + 2 \\ y = 7`

Thus, the answer is x = -2, y = 7

Or

(-2,7)