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a system of equations is shown below:

n = 3m + 7
n − 2m = 1

what is the solution, in the form (m, n), to the system of equations?

(3, 7)
(1, 8)
(−3, −2)
(−6, −11)

which statement is true about the solutions for the equation 4y + 6 = −2?

it has infinitely many solutions.
it has two solutions.
it has one solution.
it has no solution.

the system of equations shown below is graphed on a coordinate grid:

3y + x = 4
2y − x = 6

which statement is true about the coordinates of the point that is the solution to the system of equations?

it is (−2, 2) and lies on both lines.
it is (−5, 3) and lies on both lines.
it is (−5, 3) and does not lie on either line.
it is (−2, 2) and does not lie on either line.

what is the value of z in the equation 2z + 6 = −4?

5
1
−1
−5

which statement is true for the equation 2x − 2x − 7 = −7?

it has infinitely many solutions.
it has two solutions.
it has one solution.
it has no solution.

the incomplete work of a student to solve an equation is shown below:

step 1: 4x + 12 = 4
step 2: ?
step 3: x = −8 ÷ 4
step 4: x = −2

what is the missing step 2?

4x = 8
4x = 16
4x = −16
4x = −8

which set of steps shows the solution to the equation 2y = −8?

y = −8 − 2; y = 6
y = −8 ÷ (−2); y = 4
y = −8 ÷ 2; y = −4
y = −8 − (−2); y = −6

a system of two equations is shown below:

equation c: a = 3b + 6
equation d: a = 7b − 1

what value of a can be substituted into equation d to solve the system of equations?

3b
7b
3b + 6
7b − 1

1. (-6, -11)

2. It has one solution

3. It is (−2, 2) and lies on both lines

4.

5. It has infinitely many solutions.

6.

7. y = −8 ÷ 2; y = −4

8. 3b + 6

Step-by-step explanation:

Question 1:

Substituting equation 1 into equation 2 and solving for gives us:

Plugging this value into equation 1 gives us , so we have:

Hence, the solution, in the form (m, n), to the system of equations is (-6,-11).

Question 2:

Solving the equation for gives us:

As we can see, there is only one solution.

Question 3:

We can add the both equations so cancels out and then we can solve for :

Substituting this value of into any equation above (let's use equation 1) will give us :

So the intersection point (or solution) (-2, 2) lies on both the lines.

Question 4:

Let's do some algebra and figure out the value of :

is -5

Question 5:

Reducing the equation gives us:

We can plug in ANY VALUE into and make this equation true. So there are INFINITELY MANY SOLUTIONS.

Question 6:

Step 2 of the solution should be taking 12 to the other side so that variable is on one side and all the numbers to the other. So 2nd step would be:

Rest of the steps follow. So, 2nd step would be .

Question 7:

The next step to solving this equation would be to DIVIDE -8 by 2 since 2 is multiplied with .

Third answer choice is right.

Question 8:

We can substitute the value of given in Equation C into Equation D to solve the system of equations.

The value of in Equation C is given as

Third answer choice is right.

the answer to this question is 3/19

step-by-step explanation:

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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