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3 votes
Solve the system of equations below:

2x + y = 10

y= - 4x + 16

User Zzxyz
by
7.9k points

1 Answer

6 votes

Answer: x = 3, y = 4; (3, 4)

Explanation:

To solve, we will substitute one equation into the other and solve.

Given:

2x + y = 10

Substiute:

2x + (- 4x + 16) = 10

2x - 4x + 16 = 10

Combine like terms:

-2x + 16 = 10

Subtract 16 from both sides of the equation:

-2x = -6

Divide both sides of the equation by 3:

x = 3

Given:

y= - 4x + 16

Substuite:

y= - 4(3) + 16

Compute:

y = 4

We can also solve by graphing both of the equations. The point of intersection is the solution. See attached.

Solve the system of equations below: 2x + y = 10 y= - 4x + 16-example-1
User Jac Mos
by
8.6k points

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