find a solution of the equation -5x + 2y = 14
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1
Answer:
It's easy
Step-by-step explanation:
We can scale the first equation by
5
to get the same
y
value as the second one,
10
y
.
So,
(
−
2
x
+
2
y
=
−
14
)
⋅
5
=
−
10
x
+
10
y
=
−
70
e
q
1
=
−
10
x
+
10
y
=
−
70
e
q
2
=
7
x
+
10
y
=
15
Now we can subtract both equations together,
e
q
1
−
e
q
2
=
−
17
x
=
−
85
, so
x
=
85
17
=
5
We substiture this value of
x
back into the original equations to find
y
, so
−
2
(
5
)
+
2
y
=
−
14
→
2
y
=
−
4
→
y
=
−
2
The solution is
x
=
5
,
y
=
−
2
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