Question

Which system of equations has the same solution as the system below 4x+5y=13 10x-8y= -32

Answer 1

x = -0.69, y = 3.15

Explanation:

4x+5y=13....... Equation 1

10x-8y= -32........ Equation 2

We solve using Elimination method

Multiply Equation 1 by 10 and Equation 2 by 4 to eliminate

40x + 50y = 130........ Equation 3

40x - 32y = -128...... Equation 4

We Subtract Equation 4 from Equation 3

82y = 258

y = 258/82

y = 3.1463414634

y = 3.15

Solving for x

4x+5y=13....... Equation 1

4x + 5(3.15) = 13

4x + 15.75 = 13

4x = 13 - 15.75

4x = -2.75

x = -2.75 ÷ 4

x = -0.6875

x = -0.69