Question

30 POINTS PLEASE I NEED THE ANSWER NOW!!!!!!!

A system of equations is given.

−2y = 10 − 5x
−3y = −4x +15

Solve for (x, y) using the elimination method.

Answer 1

Answer: The value of x is 0 and y is -5 using the elimination method.

Step-by-step explanation: To use the elimination method, we will remove one variable and find the value of the other one. Rewriting the equation -

-2y + 5x = 10 : equation 1

-3y + 4x = 15 : equation 2

Multiplying equation 1 with 4 and equation 2 with 5

-8y + 20x = 40 : equation 3

-15y + 20x = 75 : equation 4

Subtracting equation 3 from equation 4 to eliminate variable y

-7y = 35

y = - 35/7

y = -5

Keep the value of y in Equation 1 to find the value of x

-2(-5) + 5x = 10

10 + 5x = 10

5x = 10 - 10 5x = 0

x = 0

So, the value of x is 0 and y is -5.

Answer 2

Answer:5=y

Explanation:

10 − 5x=−2y

15 − 4x =−3y

• (10 − 5x=−2y)4

(40 - 20x=−8y)

15 − 4x =−3y

(15 − 4x =−3y)5

(75 - 20x=−15y)

• (75 - 20x=−15y)

• (40 - 20x=−8y)

• 35 =-7y

• 35/7=y

• 5=y