One way to solve the system of equations would be to solve for q (in terms of r) in the first equation to get:
9r + q = 13
q = 13 - 9r

Then, take the value for q you just found and insert it into the second equation:
3r + 2(13-9r) = -4

Then simplify and solve:
3r + 26 - 18r = -4
-15r = -30
r = 2

Now that you have the value for r, plug it into either of the original equations and solve for q:
9r + q = 13
9(2) + q =13
18 + q = 13
q = -5

r = 2; q = -5

7 0

3 years ago

Read 2 more answers

Lelechka [254]

Answer:

4 and 6 are complementary because they are alternate exterior angles

5 0

3 years ago

Which functions have the same rate of change?

Alja [10]

Answer:

Option 3

Step-by-step explanation:

All equations are in slope-intercept form. $y=mx+b$

The 'm' is the slope.

The 'b' is the y-intercept.

The slope is also known as the rate of change. So, we would have to look at what replaces 'm' and select two equations that have the same rate of change.

<em>Let's look over the equations:</em>

<h3>Equation A:</h3>

$y=0.3x-6$

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

<h3>Equation B:</h3>

$y=3x-8$

In this equation, 3 replaces 'm', so the rate of change for this equation is 3.

<h3>Equation C:</h3><h3> $y=0.3x+4$ </h3>

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

<h3>Equation D:</h3><h3> $y=0.03x+1$ </h3>

In this equation, 0.03 replaces 'm', so the rate of change for this equation is 0.03.

Equation C and equation A have 0.3 as the slope. Since the question asks for two equations that have the same rate of change, the answer would be Equations A and C, or Option 3.

3 0

4 years ago