Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x - 14y = - 68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (,

x=0.5 and y=5

Step-by-step explanation:

8x+7y=39 ... eqn (1) * -14

4x-14y=-68 ... eqn (2) * 7

we now have,

-112x-98y=-546

- (28x-98y=-476)

-140x:-140 = -70:-140

x=0.5

to solve for y, we substitute (x=0.5) into eqn (1) or eqn 2 which ever you want ...

so I'm using eqn 1.

8x+7y=39

8 (0.5) + 7y=39

7y=39-4

7y:7=35:7

y=5

therefore, x=0.5, y=5

proof: substitute both x and y values to get you the same answer as the original solutions in both equations.

we have,

8 (0.5) + 7 (5) = 39

4 (0.5) - 14 (5) = -68