Question

Y=2x+3 y=4x+7 solve by elimination

Answer 1

`\displaystyle [-2, -1]`

Step-by-step Step-by-step explanation:

To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of
`\displaystyle x,`therefore we will split the second equation in negative half :

`\displaystyle \left \{ {{y = 2x + 3} \atop {-(1)/(2)[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-(1)/(2)y = -2x - 3(1)/(2)}} \right. \\ \\ (1)/(2)y = -(1)/(2); -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}`

I am joyous to assist you at any time.