3/4x-2/5y=2
1/2x-3/5y=-2
im having trouble re aranging the y and the x values and im saposed to be sovling it with either substition or elimination
Try this:
Double the last equation to get
x = -4 + (6/5) y
Then substitute that x into the first equation and solve for y.
(3/4)(-4 + (6/5)y) -(2/5)y = 2
-3 + (9/10)y -(4/10)y = 2
Take it from there
thanks
You're welcome!
To solve this system of equations using substitution or elimination, let's consider the steps involved:
Method 1: Substitution
1. Solve one equation for one variable in terms of the other variable.
2. Substitute that expression into the other equation.
3. Solve the resulting equation for the remaining variable.
4. Substitute the value found into one of the original equations to find the value of the other variable.
Method 2: Elimination (also called the addition/subtraction method)
1. Multiply one or both equations by a suitable factor so that when added or subtracted, one variable will be eliminated.
2. Add or subtract the resulting equations to eliminate one variable.
3. Solve the resulting equation for the remaining variable.
4. Substitute the value found into one of the original equations to find the value of the other variable.
Let's continue solving the system of equations using the substitution method:
1. Double the last equation to get:
x = -4 + (6/5)y
2. Substitute this expression for x in the first equation:
(3/4)(-4 + (6/5)y) - (2/5)y = 2
3. Simplify and solve for y:
-3 + (9/10)y - (4/10)y = 2
(-3y + 9y - 4y) / 10 = 2
2y / 10 = 2
2y = 20
y = 10
4. Substitute the value of y (y = 10) into one of the original equations:
1/2x - 3/5(10) = -2 (using the second equation)
Simplify and solve for x:
1/2x - 6 = -2
1/2x = 4
x = 8
So the solution for this system of equations is x = 8, y = 10.
Remember, these are just the steps for solving using the substitution method. If you prefer to use the elimination method, you would have to multiply the equations by suitable multiples in order to eliminate one variable.