Solve the following using Substitution method
2x – 5y = -13

3x + 4y = 15

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

Add 5y to both sides of the equation.

Divide both sides by 2.

Multiply times 5y - 13.

Substitute for x in the other equation, 3x + 4y = 15.

Multiply 3 times .

Add to 4y.

Add to both sides of the equation.

Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

Substitute 3 for y in . Because the resulting equation contains only one variable, you can solve for x directly.

Multiply 5/2 times 3.

Add to by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

The system is now solved. The value of x & y will be 1 & 3 respectively.