SOLUTION: Having Trouble understanding the procedure for finding the answer. 1) Solve the system using substitution of linear equations. the 2 linear equations are: a)2x + 3y = -4

Algebra ->  Linear-equations -> SOLUTION: Having Trouble understanding the procedure for finding the answer. 1) Solve the system using substitution of linear equations. the 2 linear equations are: a)2x + 3y = -4      Log On


   

Question 128720: Having Trouble understanding the procedure for finding the answer.

1) Solve the system using substitution of linear equations.
the 2 linear equations are:
a)2x + 3y = -4
b)y - 2x = 4

thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations by "substitution":
a) 2x%2B3y+=+-4
b) y-2x+=+4 Rewrite this equation in terms of y, then "substitute" into the first equation and solve for x.
b) y+=+highlight%282x%2B4%29 Substitute this for y in equation a)
a) 2x%2B3highlight%28%282x%2B4%29%29+=+-4 Simplify and solve for x.
2x%2B6x%2B12+=+-4
8x%2B12+=+-4 Subtract 12 from both sides.
8x+=+-16 Divide both sides by 8.
x+=+-2
To find the y-value, substitute this value of x into either one of the two given equations...let's use equation b).
y-2x+=+4 Substitute x = -2.
y+-+2%28-2%29+=+4
y+%2B+4+=+4 Subtract 4 from both sides.
y+=+0
The solution is: (-2, 0)