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Solve the linear system usis y=5x-7 -4x+y=-1 10. 15x+y=70 3x-2y=-8

User Bzz
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Final answer:

To solve the linear system of equations, you can use either the substitution or elimination method. The solution to the system is x = 2, y = 3.

Step-by-step explanation:

To solve the linear system of equations:

y = 5x - 7

-4x + y = -1

15x + y = 70

3x - 2y = -8

We will use the substitution or elimination method.

1. Substitution Method:

-4x + (5x - 7) = -1. Simplify and solve for x: x = 2.

Substitute x = 2 into the other equation: y = 5(2) - 7 = 3.

The solution to the system is x = 2, y = 3.

2. Elimination Method:

Multiply the second equation by 5 and the fourth equation by 4 to get:

-20x + 5y = -5

12x - 8y = -32

Adding these two equations together eliminates y, solve for x: x = 2.

Substitute x = 2 into the third equation: 15(2) + y = 70. Solve for y: y = 3.

The solution to the system is x = 2, y = 3.

User Adetoun
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