SOLUTION: Could you please help me. How can I solve this system of equation using the substitution method. -5x+y=-3 3x-8y=24

Question 1060645: Could you please help me. How can I solve this system of equation using the substitution method.
-5x+y=-3
3x-8y=24
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's solve for y in equation 1

-5x+y=-3

-5x+y-5x=-3-5x

y=-3-5x

----------------------------------------------------------------------------------------

Now we'll use y=-3-5x to plug into the other equation

3x-8y = 24

3x-8( y ) = 24

3x-8( -3-5x ) = 24 ... replace y with -3-5x; solve for x

3x-8(-3)+8(-5x) = 24

3x+24-40x = 24

3x-40x+24 = 24

-37x+24 = 24

-37x+24-24 = 24-24

-37x = 0

-37x/(-37) = 0/(-37)

x = 0

----------------------------------------------------------------------------------------

Now that we know x = 0, we can use this to find y

y=-3-5x

y=-3-5*0 ... replace x with 0

y=-3-0

y=-3

----------------------------------------------------------------------------------------

So together, x = 0 and y = -3.

They form the ordered pair (0,-3)

Visually, the two equations will graph 2 straight lines that meet at (0,-3)
RELATED QUESTIONS
Can you please help me. I'm want to solve this system of equation using the substitution... (answered by josgarithmetic,ikleyn)

Can you please help me. I'm want to solve this system of equation using the substitution... (answered by Alan3354)

can you help me with this problem? i am solving using the substitution method y=3x+1... (answered by Alan3354)

Can you help me solve this using substitution method. 1) 3x+8y=20 y=-2x+9 2)... (answered by josgarithmetic)

solve the following system of equations using substitution method: y=x+4 Y=2X+3 COULD... (answered by Alan3354,rfer)

Please help me solve this equation using substitution -3x-8y=20... (answered by Alan3354)

can you please help me solve and check this problem using the substitution method.... (answered by mangopeeler07)

Please help me with this can you explain this to me. solve the system of equation... (answered by scott8148)