at what value of x do the graphs of the equations below intersect?\n2x - y = 6\n5x + 10y =…

at what value of x do the graphs of the equations below intersect?\n2x - y = 6\n5x + 10y = -10\n-2\\frac{2}{3}\n-2\n2\n10\\frac{2}{3}

at what value of x do the graphs of the equations below intersect?\n2x - y = 6\n5x + 10y = -10\n-2\\frac{2}{3}\n-2\n2\n10\\frac{2}{3}

Answer

Explanation:

Step1: Rearrange first equation for y

$y = 2x - 6$

Step2: Substitute y into second equation

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

Step3: Expand and simplify

$5x + 20x-60=-10$ $25x-60=-10$ $25x=-10 + 60$ $25x=50$

Step4: Solve for x

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

Answer:

2