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Free_Kalibri [48]
3 years ago
7

How can I make this equation into an ordered pair

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0
I'd suggest re-wording your question:
"How do I find the ordered pair (x,y) that solves this system of linear equations?"

One way of doing that would be to substitute y=5x+7 into the other equation:

-3x - 2(5x+7) = -12.  Solve this for x.  Once you have a value for x, subst. that value into y=5x+7 to find the corresponding y value.

Then write the ordered pair (x,y).  That's it.
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What is −13+2z=−56 Thanks
Zinaida [17]
<h3>Original Equation:</h3>

-\frac{1}{3}+2z=-\frac{5}{6}

<h3>Steps:</h3>

<em>*To solve for a variable, isolate the desired variable onto one side.</em>

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}

Now that we have common denominators, add both sides by 2/6:

2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that <u>dividing by a number is the same as multiplying by it's reciprocal.</u> To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a <em>whole number</em> this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

\frac{1}{2}\times 2z= -\frac{1}{2}\times \frac{1}{2}\\\\z=-\frac{1}{4}

<h3>Final Answer:</h3>

<u>Your final answer is z = -1/4.</u>

7 0
3 years ago
Why do the inequality signs stay the same in the last two steps of exercise 1
MrRissso [65]
The only reason an inequality would change would be because a number is divided or multiplied by a negative number. So if it stayed the same, then it would be because there was no division or multiplication by a negative number. Hope I helped :)
7 0
3 years ago
Read 2 more answers
Which of the following is a radical equation?<br> x√3=13<br> x+3√3=13<br> √x+3=13<br> x+3=√13
Shtirlitz [24]
The answer would be: <span>√x+3=13

</span>A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.
The option with √x would be only <span>√x+3=13
</span>
7 0
3 years ago
Read 2 more answers
Two angles are supplementary. The measure of one angle is 54 more than the measure of the other angle. What is the measure of th
il63 [147K]

Answer:

bigger angle is 117°

Step-by-step explanation:

x+x+54= 180 (when two angles are complementary it means that their sum is 180 degrees)

2x+54=180

2x= 180-54

2x=128

x=126/2

x= 63

x1= smaller angle

x1= 63

x2= bigger angle

x2= 63+54

x2=117

4 0
3 years ago
6x3 + 8x2 – 2x + 4 and 10x3 + x2 + 11x + 9
balu736 [363]
6x3+8x2-2x+4=30-2x

10x3+x2+11x+9=21+13x
3 0
3 years ago
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