Question

Solve this system of equations.Write your answer as an ordered pair.3x+4y=36 y=-1/2x+8

Answer 1

To solve the system of equations 3x + 4y = 36 and y = -(1/2)x + 8, we can substitute the value of y from the second equation into the first equation. The solution is (4, 6).

Step-by-step explanation:

To solve the system of equations 3x + 4y = 36 and y = -(1/2)x + 8, we can substitute the value of y from the second equation into the first equation.

Substituting -1/2x + 8 for y in the first equation gives us:

3x + 4(-1/2x + 8) = 36

Simplifying the equation, we have:

3x - 2x + 32 = 36

x + 32 = 36

x = 4

Now, substitute x = 4 back into the second equation to find y:

y = -(1/2)(4) + 8

y = -2 + 8

y = 6

Therefore, the solution to the system of equations is (4, 6).

Answer 2

x = 4

y = 6

Step-by-step explanation:

`\left \{ {{3x+4y=36} \atop {(1)/(2)x+4y=8 }} \right.` rewrite the equations and multiply bottom equations by -4

`\left \{ {{3x+4y=36} \atop {-2x-4y=-32}} \right.` add both equations together

x = 4

then, input x=4 into equation 3x+4y=36:

3(4)+4y=36 (simplify)

12+4y=36 (subtract 12 from both sides)

4y=24 (divide both sides by 4)

y=6