Answer:
x = 7, y = 6
Step-by-step explanation:
solve for y for the first equation
2x + y = 20
-2x -2x , eliminate 2x
y = 20-2x
now that we have found y, substitute the y in for the second equation
-5y = -6x + 12
-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5
-100+10x = -6x + 12, we multiplied everything from the parathesis by -5
+100 + 100, eliminate -100
10x = -6x + 112
+6x +6x , eliminate 6x
16x = 112 , solve for x
x = 7
then y = 20 - 2x = 20 - 2*7 = 6
check:
2 * 7 + 6 = 20
20 = 20
-5 * 6 = -6 * 7 + 12
-30 = -42 + 12
-30 = -30
Let's the name the first number x and the consecutive number x + 1. The sum of both of these numbers equals to 53.
We now have our equation:
x + x + 1 = 53
Now solve for x.
x + x + 1 = 53
2x + 1 = 53 <-- Combine like terms
2x = 52 <-- Subtract 1 from each side
x = 26
So, the first number is 26 and the second number is 27.
<span>Ans = A. From 0 to 200 at intervals of 50
Please Read Explanation
first point has y-value of ~ 50
second point : ~100
third point : ~150
fourth point : ~200
</span>
2xy + 8y - 8x - 32
2(xy + 4y - 4x - 16)
2(x + 4)(y - 4)
Answer:
x = ³/₅
Step-by-step explanation:
1⅔/x = 2⁷/₉ Convert the right-hand side to improper fraction
1⅔/x = ²⁵/₉ Multiply each side by x
1⅔ = ²⁵/₉x Convert the left-hand side to improper fraction
⁵/₃ = ²⁵/₉x Multiply each side by 9
15 = 25x Divide each side by 25
x = ³/₅
<em>Check: </em>
1⅔/⅗ = 2⁷/₉
⁵/₃ × ⁵/₃ = ²⁵/₉
²⁵/₉ = ²⁵/₉
