SOLUTION: x + 3y = −8, 4x − 3y = 23

Algebra.Com
Question 701022: x + 3y = −8,
4x − 3y = 23

Answer by checkley79(3341)   (Show Source): You can put this solution on YOUR website!
x + 3y = −8
x=-3y-8 replace x with (-3y-8) in the second equation & solve for y.
4x − 3y = 23
4(-3y-8)-3y=23
-12y-32-3y=23
-15y=23+32
-15y=55
y=55/-15
y=-11/3 ans.
x+3(-11/3)=-8
x-33/3=-8
x-11=-8
x=-8+11
x=3 ans.
Proof:
4*3-3(-11/3)=23
12+33/3=23
12+11=23
23=23

RELATED QUESTIONS

find the solution x − 3y = −5 4x + 3y = 25 (answered by ikleyn)
Solve using substitution: -y − 5x = -7 2y − 2x = 14 Solve using... (answered by Alan3354)
3x − 2y + z = −2 x + 3y − 4z = −5 2x − 3y... (answered by Alan3354)
4x − 3y = 3 5x − 4y = 3 (answered by solver91311)
Graph the following. A. x + 3y = − 6 b. 3x − 2y = 8 (answered by checkley77)
− x − 8 (answered by ikleyn)
x − 2y = 14 x + 3y = 9 (answered by deborabr)
2x + 3y − 6z = −11 x − 2y + 3z = 8 3x + y = 9... (answered by Alan3354)
How can one fifthx − 2 = one thirdx + 8 be set up as a system of equations? A... (answered by Alan3354)