Question

solve this equation with substitution method y=-3x+5 and 5x-4y=-3​

Answer 1

Start by labelling the equations.

Equation

1

:

y

=

−

3

x

+

5

Equation

2

:

5

x

−

4

y

=

−

3

2

. Substitute equation

1

into equation

2

.

5

x

−

4

y

=

−

3

5

x

−

4

(

−

3

x

+

5

)

=

−

3

3

. Solve for

x

.

5

x

+

12

x

−

20

=

−

3

17

x

=

17

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

x

=

1

a

a

∣

∣

−−−−−−−−−−

4

. Substitute

x

=

1

into equation

1

to find the value of

y

.

y

=

−

3

x

+

5

y

=

−

3

(

1

)

+

5

5

. Solve.

y

=

−

3

+

5

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

y

=

2

a

a

∣

∣

−−−−−−−−−

∴

,

x

is

1

and

y

is

2

.

Answer 2

Step-by-step explanation:

Hope u understand and this is clear to yuo