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statuscvo [17]
3 years ago
7

Name the intersection of MN and QP​

Mathematics
1 answer:
Advocard [28]3 years ago
7 0
An intersection is a single point where 2 lines meet. So the answer to naming the intersection for MN and QP is J.
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Solve the system of equations x+y=4 and 3x+7y=32 by combining the equations
Nesterboy [21]

Answer:

x = -1

y = 5

Step-by-step explanation:

x+y=4

3x+7y=32

<em><u>To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.</u></em>

x+y=4,3x+7y=32

<em><u>Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.</u></em>

x+y=4

<em><u>Subtract y from both sides of the equation</u></em>.

x=−y+4

<em><u>Substitute −y+4 for x in the other equation, 3x+7y=32.</u></em>

3(−y+4)+7y=32

<em><u>Multiply 3 times −y+4.</u></em>

−3y+12+7y=32

<em><u>Add −3y to 7y.</u></em>

4y+12=32

<em><u>Subtract 12 from both sides of the equation</u></em>.

4y=20

<em><u>Divide both sides by 4</u></em>.

y=5

<em><u>Substitute 5 for y in x=−y+4. Because the resulting equation contains only one variable, you can solve for x directly.</u></em>

x=−5+4

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x=−1

7 0
3 years ago
What does a equal -5(6a+21)=-15
borishaifa [10]
Step 1 : Simplify both sides
-5(6a+21)=-15
(-5)(6a)+(-5)(21)=-15
-30a-105=-15
Step 2 : Add 105 to both sides
-30a-105+105=-15+105
-30a=90
Step 3 : Divide both sides by -30
-30a=90
—————
-30 -30

a = -3
7 0
4 years ago
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