Question

at what value of x do the graphs of the equations below intersect?
2x - y = 6
5x + 10y = -10
\\( -2\frac{2}{3} \\)
\\( -2 \\)
\\( 2 \\)
\\( 10\frac{2}{3} \\)

Explanation:

Step1: Isolate y in first equation

$2x - y = 6 \implies y = 2x - 6$

Step2: Substitute y into second equation

$5x + 10(2x - 6) = -10$

Step3: Expand and simplify equation

$5x + 20x - 60 = -10 \implies 25x - 60 = -10$

Step4: Solve for x

$25x = 50 \implies x = \frac{50}{25} = 2$

Answer:

C. 2