Solve the following system of equations by substitution 3 x + 0.5 y = 11 x + 2 y = 0

Mathematics

1 answer:

SVEN [57.7K]1 year ago

6 0

The solution to the system of equations using substitution is given by:

x = 4 and y = 2.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the equations are given by:

3x + 0.5y = 11.

x + 2y = 0.

From the second equation, we have that:

x = -2y.

Replacing in the first equation, we have that:

3(-2y) + 0.5y = 11

-5.5y = 11.

5.5y = -11

y = -11/5.5

y = -2.

Then the solution for x is:

x = -2y = -2(-2) = 4.

The solution to the system of equations using substitution is given by:

x = 4 and y = 2.

More can be learned about a system of equations at brainly.com/question/24342899

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Bonus question ! <br> If you answer something dumb I'll report you .

Liono4ka [1.6K]

Hello,
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1/Angle 1= Angle 6= Angle 9= Angle 14=Angle 3= Angle 8= Angle 11= Angle 16

2/Angle 2= Angle 5= Angle 10= Angle 13= Angle 4=Angle 7=Angle 12= Angle 15

Check:
Option A:
Angle 2= Angle 7
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Option B:
Angle 3= Angle 11
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Option C:
Angle 1= Angle 12
None

Option D:
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Option E:
Angle 6 angle 7 are supplementary; supplementary means that both angles add up together to get 180°. To help you understand clearly, you see that when the two angle on the same line like angle 5 and 6, angle 1 and 5. However, for this one it will be False because both angle are obtuse which more than 90°. Hope it help!

4 0

3 years ago

Read 2 more answers

3 3/4 -1 3/14 in simpilist form

lakkis [162]

For this case we must simplify the following expression:

$3 \frac {3} {4} -1 \frac {3} {14} =$

To do this, we convert the mixed numbers to improper fractions:

$\frac {4 * 3 + 3} {4} - \frac {14 * 1 + 3} {14} =\\\frac {15} {4} - \frac {17} {14} =\\\frac {14 * 15-4 * 17} {4 * 14} =\\\frac {210-68} {56} =\\\frac {142} {56} =\\\frac {71} {28} =\\2 \frac {15} {28}$