Question

Use substitution to solve the system. x=2y+8

2x-3y=13

Answer 1

erm, multiply the first equation by \(-2\). that yields\[\begin{cases}-2x = -4y - 16 \\ 2x - 3y = 13\end{cases}\]add both equations and solve for \(y\).

Answer 2

you already know what x equals...so sub it in for x in the second equation

2(2y+8) - 3y = 13

Now just distribute and simplify

Answer 3

dmezz thats elimination ...the problem asked for substitution :)

Answer 4

solve each system by the elimination method 1)3x+2y=10 2x+y=7 2)3x-2y=7 2x-y=8 3)2x+3y=-13 -4x+6y=-10

Answer 5

you already have the value of x from the first equation
just substitute that value and get the answer

Answer 6

ah, yes. my bad