Question

consider the following system of equations 2x+3y=45 x+y=10 what is the x value of the solution for this system

Answer 1

x + y = 10.....y = 10 - x....so we sub in 10 - x for y in the other equation

2x + 3y = 45
2x + 3(10 - x) = 45
2x + 30 - 3x = 45
2x - 3x = 45 - 30
-x = 15
x = -15 <===

Answer 2

value of x = -15

Explanation:

Given the system of equation:

`2x+3y = 45` .....[1]

`x+y = 10` ......[2]

Multiply equation [2] with 3 we have;

`3x+3y =30` ......[3]

Subtract equation [3] from [1] to eliminate y and solve for x;

`2x+3y-3x-3y = 45-30`

Combine like terms;

`-x =15`

Divide both side by -1 we have;

x = -15

Therefore, the value of x of the solution for the given system is, -15