Given the equation 2x = 4y - 3 write another linear equation that would create a system that has the number of solutions listed

Mathematics

1 answer:

Harman [31]3 years ago

7 0

Answer:

A. $2x-4y=\pi$
B. $x=1$

C. $2x-4y=3$

Step-by-step explanation:

A. $2x-4y=\pi$ . Any number could work as long as the coefficients for x and y stays the same. You are basically imposing that the quantity 2x-4y (if you bring 4y to the LHS) is equal to both -3 AND $\pi$ , or any number you like. But yesterday was 3/14 so let's pick a fun number!

B. $x=1$ Or $y=1$ . Or as long as you don't pick the same ratios of x and y you're golden. But x=1 is the easiest that comes to mind

C. $2x-4y=3$ . To get infinitely many solutions you just have to rewrite the equation again. Maybe move things around if you prefer, or multiply everything by a number you lile.

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sewing a border of ribbon onto her rectangular picnic blanket. The long side of the blanket is 70cm and the short side is 40cm.

Strike441 [17]

Answer:

$220$ cm

Step-by-step explanation:

We need to find the perimeter of the rectangular blanket in this case because a border is being sewn onto the blanket. The perimeter of a rectangle can be calculated by multiplying the sum of the rectangle's length and width by 2. As an algebraic expression, that would be $2(l+w)$ , where $l$ is the rectangle's length and $w$ is the rectangle's width. We are given that $l=70$ and $w=40$ . Therefore, $2(70+40)=2*110=220$ cm of ribbon will be needed. Hope this helps!