Question 1

Find the sum of the two equations: $3x+y=21$ and $6x-2y=42$

Accepted Answer

$9x-y=63$

Question 2

Is the point $(0,7)$ a solution to the new equation $9x-y=63$

Accepted Answer

No

Question 3

Find the sum of the two equations: $2x-5y=-10$ and $-x+3y=8$

Accepted Answer

$x-2y=-2$

Question 4

Is the point $(10,6)$ a solution to the new equation $x-2y=-2$

Accepted Answer

Yes

Question 5

Find the sum of the two equations: $2x+4y=-4$ and $-x-4y=0$

Accepted Answer

$x=-4$

Question 6

If the x-value is $4$, what is the y-value of the solution for the system of equations: $2x+4y=-4$ and $-x-4y=0$?

Accepted Answer

$y=1$

Question 7

What is the new equation when you multiply both sides of the equation, $10x+7y=9$ by $2$?

Accepted Answer

$20x+14y=18$

Question 8

Find the sum of equations, $-2x-14y=-9$ and $20x+14y=18$.

Accepted Answer

No Solution

Question 9

What is the new equation when you multiply both sides of the equation, $-5x-7y=-10$ by $-2$?

Accepted Answer

$10x+14y=20$

Question 10

Find the sum of equations, $-10x-14y=-20$ and $10x+14y=20$.

Accepted Answer

Infinitely Many Solutions

Question 11

What is the new equation when you multiply both sides of the equation, $-x+4y=-9$ by $-3$?

Accepted Answer

$3x-12y=27$

Question 12

Find the sum of equations, $3x-12y=27$ and $-10x+12y=22$.  WHat is the x-value of the solution point?

Accepted Answer

$x=-7$

Question 13

What is the new equation when you multiply both sides of the equation, $6x-5y=-12$ by $-5$?

Accepted Answer

$-30x+25y=60$

Question 14

What is the new equation when you multiply both sides of the equation, $5x-6y=-21$ by $6$?

Accepted Answer

$30x-36y=-126$

Question 15

Using the method of elimination solve the system of equations: $6x-5y=-12$ and $5x-6y=-21$.   Hint: use your previous two answers to find the solution.

Accepted Answer

$(3, 6)$

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