159k views
3 votes
Show your work and find the solution to the following system using substitution or elimination:

y = 2x - 1
y = 5x - 7

User Stewe
by
8.5k points

1 Answer

5 votes
Look at this from comments then you will find your answer, you’ll see why.
y
=
2
x
;

1
y
=
5
x

7

Rewrite equations:
y
=
2
x
;

y
=
5
x

7

Step: Solve
y
=
2
x
for y:
y
=
2
x

Step: Substitute
2
x
for
y
in

y
=
5
x

7
:

y
=
5
x

7

2
x
=
5
x

7

2
x
+

5
x
=
5
x

7
+

5
x
(Add -5x to both sides)

7
x
=

7

7
x

7
=

7

7
(Divide both sides by -7)
x
=
1

Step: Substitute
1
for
x
in
y
=
2
x
:
y
=
2
x
y
=
(
2
)
(
1
)
y
=
2
(Simplify both sides of the equation)

Answer:
x
=
1
and
y
User Ted Gueniche
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories