Question

Please Solve and EXPLAIN!!
–y + 3x = 6
y = –6x + 12

Answer 1

You can solve by elimination. Where is the problem?

Answer 2

that's a simultaneous equation, yes?

Answer 3

yes

Answer 4

\(\Large \color{MidnightBlue}{\Rightarrow y + 6x = 12 }\)

Now, multiply the first equation by 2 and then subtract both.

Answer 5

Or, substitution would also work.

Answer 6

If y = -6x + 12, then you can substitute -y with -(-6x + 12)

Answer 7

-y+3x=6_y=-6x+12

Since 3x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3x from both sides.
-y=-3x+6_y=-6x+12


Divide each term in the equation by -1.
y=3x-6

y=-6x+12

Since the equation was solved for y, replace all occurrences of y in the other equations with the solution (3x-6).
y=3x-6


Move all terms not containing x to the right-hand side of the equation.
y=3x-6

9x-6=12

Move all terms not containing x to the right-hand side of the equation.
y=3x-6

9x=18

Since the equation was solved for x, replace all occurrences of x in the other equations with the solution (2).
y=3x-6
x=2

Since the equation was solved for x, replace all occurrences of x in the other equations with the solution (2).
y=3(2)-6x=2

Multiply 3 by each term inside the parentheses.
y=6-6
x=2

Subtract 6 from 6 to get 0.
y=0
x=2

This is the solution to the system of equations.
y=0
x=2

Answer 8

6x-12+3x=6
9x=18
x=2
–y + 3(2) = 6
y=0
by substitution

Answer 9

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