x+3y=-10

7x-5y=34
solve using substitution method

3 answers

x+3y=-10 ......(1)
7x-5y=34 ......(2)

From (1), write it as:
x=-10-3y ......(3)
Substitute x in (3) into (2)
7(-10-3y)-5y=34 .....(4)
Expand the left hand side
-70-21y-5y=34
Isolate y
-21y-5y = 34 + 70
-26y = 104
Calculate y:
y=104/-26 = -4 .....(5)
Now substitute (5) into (3) to find x.

After that, substitute the values of x and y into equations (1) and (2) to verify if the solutions are correct.
x=-3y-10
7(-3y-10)-5y=34
-21y-70-5y=34
-27y-70=34
-21y=104
y=-104/21
this is your y value now just plug this value back into the x to find your x value
hope this helped.
this is wrong
Similar Questions
  1. Solve this system using the substitution method.a – 4b = 2 5a = 3b – 7 Solve using the substitution method and be sure to
    1. answers icon 2 answers
  2. 17) solve this linear system using the method of substitution.2y-x=-10 y= -3/2x-1 20) simplify then solve by substitution
    1. answers icon 2 answers
  3. To solve this system, you could do the following steps:3x+4y=48 6x+2y=60 1. Choose the best method to solve by looking at the
    1. answers icon 7 answers
  4. Solve by either the substitution method or the addition or subtraction method2m=n-3 3m=2n-9 Just replace n with (2m + 3) in the
    1. answers icon 0 answers
more similar questions