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07.03.2020 •
Mathematics
Solve the system by elimination
{
2x + 5y = −24
3x − 5y = 14
Solved
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Ответ:
The answer to your question is x = -22; y = 4
Step-by-step explanation:
System of equations
2x + 5y = -24 l
3x - 5y = 14 ll
Process
1.- Multiply equation l equation l by 3 and equation ll by -2
6x + 15y = -72
-6x + 10y = -28 Add the equations
0 + 25y = 100
2.- Solve for y
y = 100/25
y = 4
3.- Substitute y in equation l to find x
2x + 5(4) = -24
Solve for x
2x + 20 = -24
2x = -24 - 20
2x = -44
x = -44/2
x = -22
Ответ:
x = - 2, y = - 4
Step-by-step explanation:
The given system of equations is expressed as
2x + 5y = −24- - - - - - - - - - - - 1
3x − 5y = 14- - - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 15y = - 72
6x - 10y = 28
Subtracting, it becomes
15y - - 10y = - 72 - - 28
25y = - 100
Dividing the left hand side and the right hand side of the equation by 25, it becomes
25y/25 = - 100/25
y = - 4
Substituting y = - 4 into equation 1, it becomes
2x + 5 × - 4= −24
2x - 20 = 24
2x = - 24 + 20 = - 4
x = - 4/2 = - 2
Ответ: