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Likurg_2 [28]
3 years ago
15

Solve systems of equations by algebraically x-2y=7 2x+5y =5

Mathematics
2 answers:
Natali [406]3 years ago
8 0

Answer:

(5,-1) or x=5 y=-1

Step-by-step explanation:

I used the substitution method to solve this!

<em>1. Pick one of your equations and solve for one of the variables. I chose the first equation and solved for x.</em>

x-2y=7

(Move the -2y to the other side of the equation in order to get the x by itself. You do the opposite, so it becomes +2y.)

x=2y+7

<em>2. Now take your second equation and plug in what you got for x into the x variable.</em>

2(2y+7)+5y=5

(Multiple 2 by everything inside of the parentheses.)

4y+14+5y=5

(We want to get the y by itself, so move the 14 to the other side.)

4y+5y=-14+5

(Combine all the like terms.)

9y=-9

(Divide the 9 from the y. What you do to one side you must do to the other.)

y=-1

<em>3. Since you have one variable solved for. Now take the first equation and plug in your y.</em>

x-2(-1)=7

(Multiple -2 by -1)

x+2=7

(Move the 2 to the other side in order to get the x by itself.)

x=5

<em>4. If needed, plug in your x and y values into the equations in order to check your answer.</em>

Hope this could help!

kompoz [17]3 years ago
4 0
5,-1 because of the substitution method
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(-5q^2 + 6q + 7) - (-q^2 + 4q)
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Steps to solve:

(-5q^2 + 6q + 7) - (-q^2 + 4q)

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Sign changes from -6 to +6.

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2 years ago
The points (-6, r)<br> and<br> (6,3) lie on a line with slope 3/4. Find the missing coordinate r.
NeTakaya

Answer:

r = -6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Slope 3/4

This means that m = \frac{3}{4}, and thus:

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(6,3)

This means that when x = 6, y = 3. We use this to find b. So

y = \frac{3}{4}x + b

3 = \frac{3}{4}(6) + b

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r is y when x = -6. So

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2 years ago
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