1) 10x = 4.6 + 32) 4y + 3.2 = 6x
From equation 110x = 4.6 + 310x - 3y = 4.y = (10x - 4.5)/3
Substitute this expression for y into equation 24(10x - 4.5)/3 + 3.2 = 6x
Simplify the equation40x - 18 + 3.2 = 640x - 14.8 = 640x - 6x = 14.34x = 14.x = 14.8/3x ≈ 0.435
Now, substitute x back into equation 1 to find y10(0.435) = 4.6 + 34.35 = 4.6 + 33y = 4.6 - 4.33y = 0.2y = 0.25/y ≈ 0.083
Therefore, the solution to the system of equations is x ≈ 0.435 and y ≈ 0.083.
1) 10x = 4.6 + 3
2) 4y + 3.2 = 6x
From equation 1
10x = 4.6 + 3
10x - 3y = 4.
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 = 6
40x - 14.8 = 6
40x - 6x = 14.
34x = 14.
x = 14.8/3
x ≈ 0.435
Now, substitute x back into equation 1 to find y
10(0.435) = 4.6 + 3
4.35 = 4.6 + 3
3y = 4.6 - 4.3
3y = 0.2
y = 0.25/
y ≈ 0.083
Therefore, the solution to the system of equations is x ≈ 0.435 and y ≈ 0.083.