Q:

Solve The Equation 3x-2y=12-3x+8y=-6

Accepted Solution

A:
Step 1: 3x in the first equation and -3x in the second equation cancel each other out, since summing them together give you zero (look at image below)Step 2: Now you have the equations: Β -2y = 12 and 8y = -6. You can combine the two equations by adding -2y and 8y together and also 12 plus -6 (look at image below)Step 3: Current formula is 6y = 6. To isolate y divide 6 to both sides and you will get y = 1Step 4: Choose either equation and input 1 for y and solve for x3x - 2(1) = 123x - 2 = 123x = 14x = 14/3 (14/3, 1)Below you can see the graph I checked it on, and the two lines indeed intersect at (14/3, 1) (aka - (4.667, 1)Hope this helped!