solve by substitution method
7x+8y=44
x=41-5y
7(41-5Y) +8Y =44
SOLVE Y
AND THEN PUT Y = ? IN X=41-5Y
THEN SOLVE X
in fact ,purpose of substitution is to make a equation have only one unknown so that we can easily solve the problem
3216:(5y-109)=16
To solve the given system of equations using the substitution method, we will substitute the value of "x" from the second equation into the first equation.
Let's begin:
1. Start with the first equation:
7x + 8y = 44
2. Take the second equation:
x = 41 - 5y
3. Substitute the value of "x" from the second equation into the first equation:
7(41 - 5y) + 8y = 44
4. Simplify the equation by distributing 7 to both terms inside the parentheses:
287 - 35y + 8y = 44
5. Combine like terms:
-27y + 287 = 44
6. Subtract 287 from both sides to isolate the variable term:
-27y = 44 - 287
7. Simplify:
-27y = -243
8. Divide both sides of the equation by -27 to solve for "y":
y = -243 / -27
y = 9
9. Substitute the value of "y" back into the second equation to find "x":
x = 41 - 5(9)
x = 41 - 45
x = -4
Therefore, the solution to the system of equations is:
x = -4
y = 9