Answer:
x = 3; y = 2
Step-by-step explanation:
x + y = 5
y = 2x - 4
<em>Isolate the y in the first equation</em>
y = 5 - x
y = 2x - 4
<em>Substitute the values</em>
5 - x = 2x - 4
<em>Isolate the Variable</em>
9 = 3x
<em>Simplify</em>
3 = x
<em>Plug that into the first equation</em>
3 + y = 5
<em>Subtract 3 from both sides</em>
y = 2
Answer:
2(2y - 1) - y = 7
Step-by-step explanation:
I guess the 2 equations are
2x - y = 7
x = 2y - 1
substitution message that you use one equation to express one variable by the other, and then you use that in the other equation to get one equation for one variable. then you solve for that, and use that result in the first equation to since for the second variable.
the equations are already defined that way, that the second equation directly defines x as an excision of y.
so, this needs to be used then in the first equation.
and that makes
2(2y - 1) - y = 7
the correct first step.
Answer:
8.12
Step-by-step explanation:
We obtain the distance between x and y
d = sqrt[(x2 - x1)² + (y2 - y1)²]
d = sqrt[(1 - 2)² + (2 - 6)²]
d = sqrt[1 + 16)
d = sqrt(17)
d² = 17
From Pythagoras rule;
Hypotenus = sqrt(Adjacent² + opposite²)
Hence,
Hypotenus = sqrt(17 + 7²)
Hypotenus = sqrt(17+ 49)
Hypotenus = sqrt(66)
Hypotenus = 8.124
Hypotenus = 8.12
Answer:
- 45
Step-by-step explanation:
let n be the number , then
n - 11 = n + 4 ( add 11 to both sides )
n = n + 15 ( multiply through by 3 to clear the fraction
2n = 3n + 45 ( subtract 2n from both sides )
0 = n + 45 ( subtract 45 from both sides )
- 45 = n
The number is - 45
Answer:
X = 8√2.
Step-by-step explanation:
In a 45-45-90 triangle the ratio of the sides are x:x:√2 x.
So here, x = 8 and the side X = 8√2.