Question

1. y = -x + 7

5x + 5y = 10
(and a coordinate grid with a line plotted)

Explanation:

Step1: Simplify the second equation

Divide $5x + 5y = 10$ by 5:
$x + y = 2$, rearrange to $y = -x + 2$

Step2: Compare slopes of both lines

First line: $y = -x + 7$, slope $m_1 = -1$
Second line: $y = -x + 2$, slope $m_2 = -1$
Since $m_1 = m_2$ and y-intercepts ($7
eq 2$) are different, the lines are parallel.

Step3: Determine solution type

Parallel lines never intersect, so there is no solution.

Answer:

There is no solution to the system of equations, as the two lines are parallel and never intersect.