SOLUTION: Please help me solve this linear system:
x+7=-9y
y=7-4x
I need to figure out what x and y is..
Thank you.
Algebra.Com
Question 253241: Please help me solve this linear system:
x+7=-9y
y=7-4x
I need to figure out what x and y is..
Thank you.
Found 3 solutions by ankor@dixie-net.com, jim_thompson5910, drk:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Please help me solve this linear system:
x+7=-9y
y=7-4x
:
Use the 2nd equation: substitute for y in the 1st equation
x + 7 = -9(7-4x)
x + 7 = -63 + 36x
7 + 63 = 36x - x
70 = 35x
x =
x = 2
:
Find y using the 2nd equation
y = 7 - 4(2)
y = 7 - 8
y = -1
;
Check solutions in the 1st equation
2 + 7 = -9(-1)
9 = 9
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation.
Plug in
Distribute.
Subtract from both sides.
Subtract from both sides.
Combine like terms on the left side.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
Go back to the second equation.
Plug in
Multiply
Subtract
=============================================================
Answer:
So the solutions are and giving us the ordered pair (2,-1)
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Our 2 original equations are:
(i) x+7=-9y
(ii) y=7-4x
I will use substitution for this. Put (ii) in for the y in (i) as
(iii) x + 7 = -9 (7-4x)
distribute the-9 as
(iv) x + 7 = -63 + 36x
isolate x and the number as
(v) 70 = 35x
x = 2. since x = 2, we find y = -1.
(2, -1)
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