24x+24y=1,16x+36y=1 solve using elimination method
Answers
Step-by-step explanation:
Equation 1: x + 2y = 5
Equation 2: -10 + 4y = -2x
Equation 1, Multiplied by 2: 2x + 4y = 10
Equation 1, Multiplied by 2: 2x + 4y - 10 = 10 - 10
Equation 1, Multiplied by 2: 2x + 4y - 10 = 0
Equation 1, Multiplied by 2: 2x - 2x + 4y - 10 = 0 - 2x
Equation 1, Multiplied by 2: 4y - 10 = - 2x
Equation 1, Multiplied by 2: - 10 + 4y = - 2x
Notice that Equation 1 = Equation 2
One Solution
Equation 1: x - y = -10
Equation 2: 2x + 3y = 15
Equation 1, Rearranged: y = x + 10
Equation 1 Substituted into 2: 2x + 3(x + 10) = 15
Equation 1 Substituted into 2: 2x + 3x + 30 = 15
Equation 1 Substituted into 2: 5x + 30 = 15
Equation 1 Substituted into 2: 5x + 30 - 30 = 15 - 30
Equation 1 Substituted into 2: 5x = -15
Equation 1 Substituted into 2: x = -3
Equation 1, Solve for Y: 2(-3) + 3(y) = 15
Equation 1, Solve for Y: -6 + 3y = 15
Equation 1, Solve for Y: 3y = 21
Equation 1, Solve for Y: y = 7
Solution: x = -3, y = 7
No Solution
Equation 1: 6x + 2y = 10
Equation 2: 12x + 4y = 21
Equation 1, Multiplied by 2: 12x + 4y = 20
The first equation contradicts the second equation. Thus, there will be no solution for these equations as no x and y will satisfy both equations. This happens because the two equations are parallel lines but have different x-intercepts and thus never intersect.