Please help to solve to find x,y
1. y=7x-3
2. 4x+2y=8
Take the value of y in the first formula and substitute it for y in the second formula. Solve the second formula for x.
Once x is found, solve for y in the second formula. Check by inserting both values into the first formula.
I hope this helps. Thanksfor asking.
1.y=4 x=1
2.x=1 y=2
x=7/9
y=22/9
To find the values of x and y in the given system of equations, we can start by substituting the value of y from the first equation into the second equation.
1. y = 7x - 3
Substitute y = 7x - 3 into the second equation:
2. 4x + 2(7x - 3) = 8
Simplify the equation:
4x + 14x - 6 = 8
18x - 6 = 8
Now, solve the equation for x:
18x = 8 + 6
18x = 14
x = 14/18
x = 7/9
Now that we have found x = 7/9, we can substitute this value back into the first equation to find y:
y = 7(7/9) - 3
y = 49/9 - 27/9
y = 49/9 - 27/9
y = 22/9
Therefore, the solution to the system of equations is x = 7/9 and y = 22/9.
To solve for x and y in the given system of equations:
1. y = 7x - 3
2. 4x + 2y = 8
We will use the method of substitution.
Step 1: Solve the first equation (Eq. 1) for y.
y = 7x - 3
Step 2: Substitute the value of y from Eq. 1 into the second equation (Eq. 2).
4x + 2(7x - 3) = 8
Step 3: Simplify and solve for x.
4x + 14x - 6 = 8
18x - 6 = 8
18x = 8 + 6
18x = 14
x = 14 / 18
Step 4: Simplify the value of x.
x = 7 / 9
Step 5: Substitute the value of x back into Eq. 1 to solve for y.
y = 7x - 3
y = 7(7/9) - 3
y = 49/9 - 3
y = 49/9 - 27/9
y = 22/9
Therefore, the solution to the system of equations is x = 7/9 and y = 22/9.
Note: It is always advisable to check the solution by substituting the found values of x and y back into both equations to verify if they satisfy both equations.