Answer:
the solution to the system of linear equations is, (2.3, 4.1)
Step-by-step explanation:
Given the system of the equation:
[tex]2x+3y = 16.9[/tex] .....[1]
[tex]5x = y+7.4[/tex] .....[2]
Multiply equation [1] by 3 both sides we have;
[tex]15x = 3y+22.2[/tex] .....[3]
We can write equation [1] as:
[tex]3y = 16.9 -2x[/tex] .....[4]
Substitute equation [4] and [3] we get;
[tex]15x = 16.9-2x+22.2[/tex]
⇒[tex]15x = 16.9-2x+22.2[/tex]
⇒[tex]15x = 39.1-2x[/tex]
Add 2x to both sides we have;
⇒17x = 39.1
Divide both sides by 17 we have;
x = 2.3
Substitute the value of x in [2] we have;
5(2.3) = y+7.4
11.5 = y+7.4
Subtract 7.4 to both sides we have;
y = 4.1
Therefore, the solution to the system of linear equations is, (2.3, 4.1)
