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tankabanditka [31]
3 years ago
10

Please answer this and thank you If DF=78, DE=5x-9, and EF=2x+10, find EF.

Mathematics
2 answers:
gregori [183]3 years ago
6 0
DE + EF = DF
5x - 9 + 2x + 10 = 78
7x+ 1 = 78
7x = 77
x = 77/7 = 11

EF = 2x + 10
EF = 2*11 + 10
EF = 22 + 10
EF = 32
AleksAgata [21]3 years ago
6 0

Question

If DF = 78, DE = 5x-9, and EF = 2x+10, find EF.

Answer

EF = 32

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Solve the system of equations for x and y.<br> y = x + 5<br> y = 2x + 2
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Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
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y
=
3
−
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2
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substitute these values into
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2
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right
=
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+
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=
−
2
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point of intersection
=
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3
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