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Answer:
The solution to the system of equations is .
Step-by-step explanation:
We are given a system of equations:
- We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation.
- After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.
- Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.
Now, we've solved for y. So, we can substitute this into either equation and solve for x.
Now, we substitute our value for x into one of the original equations and solve for y.
Therefore, the solution to our system of equations is:
Answer:
-1.8,3
Step-by-step explanation:
This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.
looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).
Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:
, this will result in 3, which is one of your values for x
the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!