2x+3y=-1 4x-5y=3
pls solve it correctly step by step method
Answers
Step-by-step explanation:
Explanation:
...
2
x
−
3
y
=
−
1
−
4
x
+
5
y
=
−
3
If you multiply the first equation by
−
2
, the coefficients of the
x
terms in both equations will be the same.
Then you can eliminate the
x
terms by subtracting one equation from the other so that the
x
terms go to zero.
Then it's easy to solve an equation in a single unknown.
...
...
...
...
...
...
.
.
. . . . . . . . . . . . .
1) Multiply all the terms on both sides of the first equation by
−
2
to make the coefficients of the
x
terms the same.
After you multiply, you will get this:
−
4
x
+
6
y
=
2
2) Subtract one of the equations from the other to make the
x
terms drop out
...
.
(
−
4
x
+
6
y
=
2
)
−
(
−
4
x
+
5
y
=
-
3
)
3) Clear the parentheses by distributing the minus sign
−
4
x
+
6
y
=
2
+
4
x
−
5
y
=
3
4) Add the equations and let the
x
terms go to 0
y
=
5
←
answer for
y
...
...
...
...
...
...
.
.
. . . . . . . . . . . . .
Use the value (
y
=
5
) to find the value of
x
1) Sub in
5
in the place of
y
in one of the equations
2
x
−
3
(
y
)
=
−
1
2
x
−
3
(
5
)
=
−
1
2) Clear the parentheses
2
x
−
15
=
−
1
3) Add
15
to both sides to isolate the
2
x
term
2
x
=
14
4) Divide both sides by
2
to isolate
x
x
=
7
←
answer for
x
Answer:
x
=
7
y
=
5