USE SUBSTITUTION TO FIND X AND Y:
3X+4Y=10
4X+5Y=14
I APPRECIATE ANY HELP...THANKYOU
OOPS, IM SRY, THERE IS NO NEED TO SOLVE THIS...THANKYOU FOR YOUR TIME ANYWAY
It also is not a physics question.
X + Y = 4
3X + 3Y = 12
3X + 4Y = 10
Y = -2
X = 6
To solve the given system of equations using the substitution method, we can start by solving one of the equations for one variable and then substitute that expression into the other equation. Let's solve the first equation for x:
1) Start with equation 1: 3x + 4y = 10.
2) Solve for x:
Subtract 4y from both sides of the equation:
3x = 10 - 4y.
3) Divide both sides of the equation by 3:
x = (10 - 4y) / 3.
Now, we have an expression for x in terms of y.
4) Substitute the expression for x from step 3 into equation 2:
4((10 - 4y) / 3) + 5y = 14.
5) Simplify and solve for y:
Distribute 4 to the terms inside parentheses:
(40 - 16y) / 3 + 5y = 14.
Multiply both sides of the equation by 3 to eliminate the fraction:
40 - 16y + 15y = 42.
Combine like terms:
-y = 42 - 40.
Simplify:
-y = 2.
Multiply both sides of the equation by -1 to isolate y:
y = -2.
6) Substitute the value of y into the expression for x from step 3:
x = (10 - 4(-2)) / 3.
Simplify:
x = (10 + 8) / 3.
x = 18 / 3.
x = 6.
Therefore, the solution to the system of equations is x = 6 and y = -2.