Answer:
A. (3, -3)
Step-by-step explanation:
Let's use the addition/elimination for this to avoid fractions. You could solve one of the equations for y or x and then sub that value into the other equation, but you would have to deal with fractions along the way, so let's just not. Using the addition/elimination (they're the same thing; math books sometimes use one or the other), we line up our equations:
5x + 2y = 9
2x - 3y = 15
It looks like if we want to eliminate the y terms, we can multiply the top equation by 3 and the bottom equation by 2 to get a whole new set of equations:
15x + 6y = 27
4x - 6y = 30
Now we can see that when we add down the columns, the y's cancel each other out. 6y's minus 6y's leaves us with no y's. What we are left with is
19x = 57 so
x = 3.
Now we will sub that 3 back in to either of the original equations to solve for y:
2(3) - 3y = 15 and
6 - 3y = 15 and
-3y = 9 so
y = -3
The solution set then is (3, -3)
Answer:
It means that you take a triangle and make another one but this time it is not the same size of the first one but the same shape. In other words make it bigger or smaller than the first one.
Answer:
163.4
Step-by-step explanation:
The option formatting isn't very clear, anyway: given a number x, negative 3 times that number is -3x. If this has to be at least 57, it means that -3x must be greater than or equal to 57:
Dividing both sides by -3 solves the equation, but we have to switch the inequality sign because we're dividing by a negative number:
The equation that models the information when Matthew makes brackets and necklaces will be 34b + 114n
<h3>How to illustrate the equation?</h3>
It should be noted that from the information, we are told that Matthew makes brackets and necklaces he uses 34 beads for each bracket and 72 beads for each necklace he makes 2 more necklaces let b represent the brackets and n represent the necklace.
The equation that can be used to represent the situation will be:
= (34 × b) + (34 × 2 × n) + (72 - 34 × n)
= 34b + 68n + 38n
= 34b + 114n
Complete question:
Matthew makes brackets and necklaces he uses 34 beads for each bracket and 72 beads for each necklace he makes 2 more necklaces let b represent the brackets and n represent the necklace. Write the equation that represents the information.
Learn more about equations on:
brainly.com/question/2972832
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