MATH SOLVE

5 months ago

Q:
# Please help 20 point and brainliest1. Solve the system of equations using the substitution method. {4x+5y=7y=3x+9 Enter your answers in the boxes.2.Which properties justify the steps taken to solve the system?{4x+3y=252x+β5y=19Drag the answers into the boxes to match each step.

Accepted Solution

A:

x=-2 and y=3.

The first step we take is to substitute the value for y from the second equation into the first equation:

4x+5(3x+9)=7

This is justified by substitution.Β The next step is:

4x+5*3x+5*9=7

4x+15x+45=7

This is justified by the distributive property.Β The next step is:

19x+45=7

This is justified by addition of like terms.Β The next step is:

19x+45-45=7-45

19x=-38

This is justified by the subtraction property of equality.Β The next step is:

19x/19 = -38/19

x=-2

This is justified by the division property of equality.Β The next step is:

y=3(-2)+9

y=-6+9

y=3

This is justified by substitution, multiplication and addition, in that order.

The first step we take is to substitute the value for y from the second equation into the first equation:

4x+5(3x+9)=7

This is justified by substitution.Β The next step is:

4x+5*3x+5*9=7

4x+15x+45=7

This is justified by the distributive property.Β The next step is:

19x+45=7

This is justified by addition of like terms.Β The next step is:

19x+45-45=7-45

19x=-38

This is justified by the subtraction property of equality.Β The next step is:

19x/19 = -38/19

x=-2

This is justified by the division property of equality.Β The next step is:

y=3(-2)+9

y=-6+9

y=3

This is justified by substitution, multiplication and addition, in that order.