1) 10x = 4.6 + 3y2) 4y + 3.2 = 6x
From equation 1:10x = 4.6 + 3y10x - 3y = 4.6y = (10x - 4.5)/3
Substitute this expression for y into equation 2:4(10x - 4.5)/3 + 3.2 = 6x
Simplify the equation:40x - 18 + 3.2 = 6x40x - 14.8 = 6x40x - 6x = 14.834x = 14.8x = 14.8/34x ≈ 0.435
Now, substitute x back into equation 1 to find y:10(0.435) = 4.6 + 3y4.35 = 4.6 + 3y3y = 4.6 - 4.353y = 0.25y = 0.25/3y ≈ 0.083
Therefore, the solution to the system of equations is x ≈ 0.435 and y ≈ 0.083.
1) 10x = 4.6 + 3y
2) 4y + 3.2 = 6x
From equation 1:
10x = 4.6 + 3y
10x - 3y = 4.6
y = (10x - 4.5)/3
Substitute this expression for y into equation 2:
4(10x - 4.5)/3 + 3.2 = 6x
Simplify the equation:
40x - 18 + 3.2 = 6x
40x - 14.8 = 6x
40x - 6x = 14.8
34x = 14.8
x = 14.8/34
x ≈ 0.435
Now, substitute x back into equation 1 to find y:
10(0.435) = 4.6 + 3y
4.35 = 4.6 + 3y
3y = 4.6 - 4.35
3y = 0.25
y = 0.25/3
y ≈ 0.083
Therefore, the solution to the system of equations is x ≈ 0.435 and y ≈ 0.083.