What is the solution for the system of equations?

use the substitution method to solve.

y=5−3x
5x−4y= −3

enter your answer in the boxes.

When using the substitution method for a system of equations, one equation should be y = ...  or x = ... (if both equations are not in this format you need to make one equation this way).
Once you have an equation in one of these formats, you take the equation and input it into the value of its correspondent of the other equation.
In this case you have y= 5-3x and 5x-4y=-3.
You should have 5x-4(5-3x)=-3.
Note how the first equation is substituted for the y value of the second equation. 
Next solve. First distribute, 5x-20+12x=-3. Combine like terms. 17x-20=-3. Separate the variable and constants by adding 20 to both sides.
17x-20+20=-3+20 -> 17x=17. Divide both sides by 17 to get x = 1.
Now we need to find y. Go back to the first equation and input your x value into it and solve. y=5-3(1) -> y=5-3 -> y = 2
You can check your answer by inputting both values into the second equation and solving. 5(1)-4(2)=-3 -> 5-8=-3 -> -3=-3
The answer is (1,2)

Abit confused about what you mean, but i think you might be referring to slope intercept form: y = mx + bin that case b, or the y intercept is already given.(0,-1)find the slope by using the formulay2 - y1/x2 - x1the final slope will be 4/2, equivalent to 2.now your equation should look like thisy = 4/2x -1sorry if this didn’t you out!