To solve the system of equations, we can use the method of substitution.
First, we can isolate x in the first equation:
x - 3y = -13
x = 3y - 13
Next, we substitute this expression for x into the second equation:
5(3y - 13) + 7y = 34
15y - 65 + 7y = 34
22y - 65 = 34
22y = 99
y = 99/22
y = 9/2
Finally, we substitute this value of y back into the expression for x:
x = 3(9/2) - 13
x = 27/2 - 26/2
x = 1/2
Therefore, the solution to the system of equations is x = 1/2 and y = 9/2, which corresponds to option C.
What is the solution of the system x − 3y = –13 and 5x + 7y = 34?
A. x=6/5,y=4
B. x=7/2,y=9/2
C. x=1/2.y=9/2
D. x=-3.y=7
1 answer
1 answer