The LCM is 2x2x2x7 factorized
Answer:
(-1, -2)
Step-by-step explanation:
4x - 7y = 10
3x + 2y = -7
The common multiple of the x coefficient is 12.
Multiple 3 to 4 to get 12; 4 to 3 to 12:
3(4x - 7y = 10)
4(3x + 2y = -7)
12x - 21y = 30
12x + 8y = -28
Subtract the two equations:
-29y = 58
y = -2
Substitute y = -2 to either 4x - 7y = 10 or 3x + 2y = -7. Typically, do the easier equation to solve:
3x + 2(-2) = -7
3x - 4 = -7
3x = -3
x = -1
The order pair solution is like a coordinate: (x, y)
You are welcome!
Kayden Kohl
9th Grade Algebra II Student
The number in question is equal to 2 times the temperature in degrees Celsius.
<h3><u>Equations</u></h3>
Since Alisha is working on a project about temperature conversion in her science class, and the formula for converting degrees Celsius to degrees Fahrenheit is F=C+32, to solve FC + 32 the following equation must be performed:
- CF + 32 = X
- F + F + 32 + 32 = X
- 2F + 64 = X
- F + 32 = 1/2X
- X = 2C
Therefore, the number in question is equal to 2 times the temperature in degrees Celsius.
Learn more about equations in brainly.com/question/26678239
Let's solve your equation step-by-step.<span><span>100−<span>6x</span></span>=<span>160−<span>10x</span></span></span>Step 1: Simplify both sides of the equation.<span><span>100−<span>6x</span></span>=<span>160−<span>10x</span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>6x</span></span>+100</span>=<span><span>−<span>10x</span></span>+160</span></span>Step 2: Add 10x to both sides.<span><span><span><span>−<span>6x</span></span>+100</span>+<span>10x</span></span>=<span><span><span>−<span>10x</span></span>+160</span>+<span>10x</span></span></span><span><span><span>4x</span>+100</span>=160</span>Step 3: Subtract 100 from both sides.<span><span><span><span>4x</span>+100</span>−100</span>=<span>160−100</span></span><span><span>4x</span>=60</span>Step 4: Divide both sides by 4.<span><span><span>4x</span>4</span>=<span>604</span></span><span>x=15</span>Answer:<span>x=<span>15
</span></span>
The speed of the faster cyclist will be 30 miles/hour.
<em><u>Explanation</u></em>
One cyclist is 3 times as fast as the other.
Lets assume that the speed of the slower cyclist is 
miles/hour.
So, the <u>speed of the faster cyclist</u> will be: 
miles/hour.
They start riding toward each other at the same time and meet 2 hours later.
We know that, 
So, the <u>distance traveled by slower cyclist</u> in 2 hours 
miles and the <u>distance traveled by faster cyclist</u> 
miles.
Given that, they were 80 miles apart at the starting. So, the equation will be.....
So, the speed of the faster cyclist will be: (3×10)= 30 miles/hour.
