Answer
One solution (-1,13)
Work Step by Step
You have the equations 7x+y=6 and 5x+3y=34. Multiply the first equation by 3 to be able to eliminate: 3(7x+y=6)=21x+3y=18. Solve for the solution using elimination-
21x+3y=18
5x+3y=34 -subtract the equation in order to eliminate the y-variable-
16x=-16 -divide both sides by 16-
x=-1
Plug in x=-1 into one of the equations to solve for y-
7(-1)+y=6 -distribute-
-7+y=6 -add 7 to both sides-
y=13
There is one solution (-1,13)
