Using elimination method, the solution of the given system of equations is (-4/7, 1/14)
A system of equation can be solved using:
The given system of equations:
2 = 4y - 3x ............ (1)
5x = 2y - 3 .............. (2)
Re-arrange the equations so that all variables are on the left sides:
2 = 4y - 3x
⇔ -3x + 4y = 2 ....... (3)
5x = 2y - 3
⇔ 5x - 2y = -3 ....... (4)
Choose one variable to eliminate. Let us choose y. Multiply equation (4) by 2, we get:
10x - 4y = -6 ....... (5)
Add equation (3) and (5)
-3x + 4y = 2
10x - 4y = -6 +
7x = -4
x = -4/7
Substitute back x = -4/7 into equation (3):
-3x + 4y = 2
-3.(-4/7) + 4y = 2
12/7 + 4y = 14/7
4y = 2/7
y = 2/28 = 1/14
Hence, the solution is (-4/7, 1/14)
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