Question

the graph solves this system of equations. enter the solution in the boxes.\\(-2y = -4x + 8\\)\\(x + y = 5\\)

Explanation:

Step1: Simplify first equation

Divide by $-2$:
$$y = 2x - 4$$

Step2: Substitute into second equation

Replace $y$ in $x+y=5$:
$$x + (2x - 4) = 5$$

Step3: Solve for $x$

Combine terms and isolate $x$:
$$3x - 4 = 5 \implies 3x = 9 \implies x = 3$$

Step4: Solve for $y$

Substitute $x=3$ into $x+y=5$:
$$3 + y = 5 \implies y = 2$$

Answer:

$(3, 2)$