To solve this system of linear equations, we can use the substitution method or the elimination method. Let's use the substitution method:
Starting with the first equation:5x + 2y = 1.25
Solve for x:x = (1.25 - 2y) / 5
Substitute x into the second equation:2((1.25 - 2y) / 5) + 3y = 1.05
Expand and simplify:(2.50 - 4y) / 5 + 3y = 1.052.50 - 4y + 15y = 5.2511y = 2.75y = 2.75 / 11y = 0.25
Now substitute y back into the first equation to solve for x:5x + 2(0.25) = 1.255x + 0.50 = 1.255x = 0.75x = 0.75 / 5x = 0.15
Therefore, the solution to the system of equations is x = 0.15 and y = 0.25.
To solve this system of linear equations, we can use the substitution method or the elimination method. Let's use the substitution method:
Starting with the first equation:
5x + 2y = 1.25
Solve for x:
x = (1.25 - 2y) / 5
Substitute x into the second equation:
2((1.25 - 2y) / 5) + 3y = 1.05
Expand and simplify:
(2.50 - 4y) / 5 + 3y = 1.05
2.50 - 4y + 15y = 5.25
11y = 2.75
y = 2.75 / 11
y = 0.25
Now substitute y back into the first equation to solve for x:
5x + 2(0.25) = 1.25
5x + 0.50 = 1.25
5x = 0.75
x = 0.75 / 5
x = 0.15
Therefore, the solution to the system of equations is x = 0.15 and y = 0.25.