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Alfie
Mathematics
21 September, 21:33
Solve the system
-4x+8y=20
2x+2y=-30
+3
Answers (
2
)
Jair Chambers
21 September, 21:34
0
{x, y} = {-35/3,-10/3}
Step-by-step explanation:
-4x+8y=20; 2x+2-30
System of Linear Equations entered:
[1] - 4x + 8y = 20
[2] 2x + 2y = - 30
Solve by Substitution:
/ / Solve equation [2] for the variable y
[2] 2y = - 2x - 30
[2] y = - x - 15
/ / Plug this in for variable y in equation [1]
[1] - 4x + 8• (-x - 15) = 20
[1] - 12x = 140
/ / Solve equation [1] for the variable x
[1] 12x = - 140
[1] x = - 35/3
/ / By now we know this much:
x = - 35/3
y = - x-15
/ / Use the x value to solve for y
y = - (-35/3) - 15 = - 10/3
Solution:
{x, y} = {-35/3,-10/3}
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Edgar Villanueva
21 September, 21:36
0
x = - 13 and y = - 4
Step-by-step explanation:
-4x + 8y = 20 ... eqn 1
2x + 2y = - 30 ... eqn 2
Step 1: Multiply eqn 1 by 2 and eqn 2 by 4
(-4x + 8y = 20) * 2
(2x + 2y = - 30) * 4
we will have
-8x + 16y = 40 ... eqn 3
8x + 4y = - 120 ... eqn 4
Step 2: Add eqn 3 and 4 together
20y = - 80
Step 3: divide all through by 20
y = - 80/20
y = - 4
Step 4: Substitute - 4 for y in eqn 1
-4x + 8 (-4) = 20
-4x - 32 = 20
-4x = 20 + 32
-4x = 52
Step 5: Divide both sides by - 4
x = 52/-4
x = - 13
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