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professor190 [17]
3 years ago
11

Use substitution to solve the system 2y - 8 = x 2x + 3y = -2

Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

x=2y-8

We use the substitution of x in the second equation

2*(2y-8)+3y= -2

4y-16+3y=-2

7y-16= -2

7y= -2 +16

7y=14

y=14Ș7

y=2

so x= 2*2 -8

    x=4-8

    x=-4

the solution is  (x,y)=(-4, 2)

Step-by-step explanation:

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Equation: SOLVE


Solution for 10=4(x-1)-(x-8) equation:

Simplifying
10 = 4(x + -1) + -1(x + -8)

Reorder the terms:
10 = 4(-1 + x) + -1(x + -8)
10 = (-1 * 4 + x * 4) + -1(x + -8)
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10 = -4 + 4x + (8 + -1x)

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10 = -4 + 8 + 4x + -1x

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10 = 4 + 4x + -1x

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Solving
10 = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
10 + -3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -3x = 4 + 0
10 + -3x = 4

Add '-10' to each side of the equation.
10 + -10 + -3x = 4 + -10

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-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2
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