I NEED HELP I WILL. GIVE YOU A BRAINLEST IF YOU ANSWER IT! 2x + 3y =13 4x - y = -2
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the equations:
2x + 3y = 13
x - y = -2
Solve.
Solution:
In order to solve the system of linear equation, we substitute the value of y of the second equation to the first equation. To do so we must solve for y for the 2nd equation. This can be done by transposing -y and -2 to the opposite sides of the equation, hence we must take note that in transposing a number, the sign changes.
x - y = -2
y = x + 2
Substitute to the first equation.
2x + 3 ( x + 2 ) = 13
2x + 3x + 6 = 13
5x + 6 = 13
Transpose 6 to the other side of the equation, and divide both sides by 5 in order to cancel out 5x, leaving behind x.
5x = 13 - 6
5x = 8
5x/5 = 8/5
x = 8/5
Final answer:
x = 8/5