SOLVE THIS SIMULTANEOUS EQUATION USING SUBSTITUTION METHOD 3X+Y=11 AND 2X-Y=4
NOTE THAT Y=11-3X
NOW USE THAT IN THE 2ND EQUATION!!
2X-(11-3X) = 4
NOW YOU CAN FIND X, AND THEN Y!!
CAN YOU HEAR ME? AM I SHOUTING LOUD ENOUGH???!!
5X/15+5X/26-1?
In substitution method
To solve the simultaneous equations using the substitution method, follow these steps:
Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve the second equation, 2X - Y = 4, for Y:
Y = 2X - 4
Step 2: Substitute the expression found in step 1 into the other equation.
Now, substitute the expression for Y (2X - 4) into the first equation, 3X + Y = 11:
3X + (2X - 4) = 11
Step 3: Simplify and solve for X.
Combine like terms:
5X - 4 = 11
Add 4 to both sides:
5X = 15
Divide both sides by 5:
X = 3
Step 4: Substitute the value of X back into any of the original equations to find the value of Y.
We can substitute X = 3 into the first equation, 3X + Y = 11:
3(3) + Y = 11
9 + Y = 11
Subtract 9 from both sides:
Y = 2
So, the solution to the simultaneous equations 3X + Y = 11 and 2X - Y = 4 is X = 3 and Y = 2.