Solve the simultaneous equations 2x+3y=13 4x-y=-2

The value of x and y are 0.5 and 4 respectively. 2x+3y=13 ..... i 4x-y=-2 ...... ii Multiply equation i by 4 Multiply equation ii by 2 8x + 12y = 52 ..... iii 8x - 2y = -4 ...... iv Subtract iv from iii 14y = 56 Divide both side by 14 14y/14 = 56/14 y = 4 Since 4x-y=-2 4x - 4 = -2 4x = -2 + 4. 4x = 2 x = 2/4 = 0.5 Therefore, x = 0.5 and y = 4 Read related link on: brainly.com/question/5144056

2x + 3y = 13 4x - y = -2 In the second equation, subtract 4x from both sides. -y = -2 - 4x Divide both sides by -1. y = 2 + 4x Put this into the first equation in place of y. 2x + 3(2 + 4x) = 13 Multiply everything in the parenthesis by 3. 2x + 6 + 12x = 13 Combine like terms. 14x + 6 = 13 Subtract 6 from both sides. 14x = 7 Divide 14 on both sides. x = 7 / 14 x = 0.5 Put this into the second equation in place of x. 4(0.5) - y = -2 2 - y = -2 Subtract 2 from both sides. -y = -4 Divide both sides by -1. y = 4 So x = 0.5 and y = 4. Hope this helps!