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.