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3 years ago

Solve the system of equations 6x-5y=15 x=y+3

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

Step 1: In the equation 6x - 5y = 15 everytime you see the "x" plug in y+3. This will solve for y

6(y + 3) - 5y = 15

Step 2: Distribute the 6 to all the numbers in the parentheses

6y + 18 - 5y = 15

Step 3: Combine like terms (6y and -5y)

(6y - 5y) + 18 = 15

y + 18 = 15

Step 4: Isolate y by subtracting 18 to both sides

y + (18-18) = 15 -18

y = -3

Step 5: Plug y (-3) into the equation x= y + 3 to solve for x

x = -3 + 3

x = 0

For this system of equations y = -3 and x = 0

Hope this helped!

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