Solve the system by elimination. 2x — 4y = 6

—2x — 3y= —6

Show/ Explain your work and solve

x = 3

y = 0

Step-by-step explanation:

2x - 4y = 6

-2x - 3y= -6, multiply both sides of the equation by -1:

2x + 3y = 6, then 2x = 6 - 3y

substitute for 2x in first equation:

(6 - 3y) -4y = 6

6 - 3y - 4y = 6

combine like terms:

-7y = 0

y = 0

2x - 0 = 6

divide both sides by 2:

x = 3

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1