Answer:
value of x = -15
Step-by-step explanation:
Given the system of equation:
[tex]2x+3y = 45[/tex] .....[1]
[tex]x+y = 10[/tex] ......[2]
Multiply equation [2] with 3 we have;
[tex]3x+3y =30[/tex] ......[3]
Subtract equation [3] from [1] to eliminate y and solve for x;
[tex]2x+3y-3x-3y = 45-30[/tex]
Combine like terms;
[tex]-x =15[/tex]
Divide both side by -1 we have;
x = -15
Therefore, the value of x of the solution for the given system is, -15
