Answer:
1. (-6, -11)
2. It has one solution
3. It is (−2, 2) and lies on both lines
4.
5. It has infinitely many solutions.
6.
7. y = −8 ÷ 2; y = −4
8. 3b + 6
Step-by-step explanation:
<u>Question 1:</u>
Substituting equation 1 into equation 2 and solving for gives us:
Plugging this value into equation 1 gives us , so we have:
Hence, the solution, in the form (m, n), to the system of equations is (-6,-11).
<u>Question 2:</u>
Solving the equation for gives us:
As we can see, there is only one solution.
<u>Question 3:</u>
We can add the both equations so cancels out and then we can solve for :
Substituting this value of into any equation above (let's use equation 1) will give us :
So the intersection point (or solution) (-2, 2) lies on both the lines.
<u>Question 4:</u>
Let's do some algebra and figure out the value of :
is -5
<u>Question 5:</u>
Reducing the equation gives us:
We can plug in ANY VALUE into and make this equation true. So there are INFINITELY MANY SOLUTIONS.
<u>Question 6:</u>
<em>Step 2 of the solution should be taking 12 to the other side so that variable is on one side and all the numbers to the other.</em> So 2nd step would be:
Rest of the steps follow. So, 2nd step would be .
<u>Question 7:</u>
<em>The next step to solving this equation would be to </em><em>DIVIDE</em><em> -8 by 2 since 2 is multiplied with . </em>
<em></em>
Third answer choice is right.
<u>Question 8:</u>
We can substitute the value of given in Equation C into Equation D to solve the system of equations.
The value of in Equation C is given as
Third answer choice is right.