The solution to the simultaneous equation isx = 19/16, y = -11/32
To solve the simultaneous equation:
2x + 4y = 1
3x - 5y = 7
we can use the elimination method.
1: Multiply the top equation by 5 and the bottom equation by 2:
10x + 20y = 5
6x - 10y = 14
2: Add the two equations together:
16x = 19
3: Divide both sides by 16 to find x:
x = 19/16
Step 4: Substitute this value of x back into one of the original equations to solve for y. Let's use the top equation:
2(19/16) + 4y = 1
19/8 + 4y = 1
4y = 1 - 19/8
4y = -11/8
y = -11/32
Therefore, the solution to the simultaneous equation is x = 19/16 and y = -11/32.