y=7x+3 y=5x-1 y=7 y=-2x y=1/2x + 5/2
y=2x+3/2
We see the equations, but what is(are) your question(s)?
Please repost with your questions. I hope this helps. Thanks for asking.
Find the slope and y-intercept of the graph of the equation.
To solve for the values of x and y in the given equations, we can use the method of substitution or the method of elimination. Let's use the method of substitution to solve the equations.
1. Start with the given equations:
y = 7x + 3
y = 5x - 1
y = 7
y = -2x
y = 1/2x + 5/2
2. Begin by picking any two equations and solve for one variable in terms of the other.
Let's solve equation 1 and 2 for y in terms of x:
From equation 1, we have y = 7x + 3.
From equation 2, we have y = 5x - 1.
3. Now we can set the y-values equal to each other and solve for x:
7x + 3 = 5x - 1
4. Subtract 5x from both sides of the equation:
2x + 3 = -1
5. Subtract 3 from both sides of the equation:
2x = -4
6. Divide both sides of the equation by 2:
x = -2
7. Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y.
Let's use equation 1: y = 7x + 3
Substitute x = -2:
y = 7(-2) + 3
y = -14 + 3
y = -11
8. Therefore, the solution to the system of equations is x = -2 and y = -11.
If we also want to solve the equation y = 2x + 3/2, we can follow the same steps:
1. Start with the equation: y = 2x + 3/2
2. Since there is only one equation, we can proceed to solve for x or y.
3. If we want to solve for x, we can rewrite the equation as:
2x + 3/2 = y
4. Subtract 3/2 from both sides of the equation:
2x = y - 3/2
5. Divide both sides of the equation by 2:
x = (y - 3/2) / 2
Now we have the equation in terms of x and y.
Remember, when solving equations, it's important to perform the same operations on both sides of the equation to maintain equality.