Answer:
x=−2
y=7
Step-by-step explanation:
5x+2y=4
x−3y=−23
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x+2y=4,x−3y=−23
To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.
5x+2y=4,5x+5(−3)y=5(−23)
Simplify.
5x+2y=4,5x−15y=−115
Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.
5x−5x+2y+15y=4+115
Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.
2y+15y=4+115
Add 2y to 15y.
17y=4+115
Add 4 to 115.
17y=119
Divide both sides by 17.
y=7
Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.
x−3×7=−23
Multiply −3 times 7.
x−21=−23
Add 21 to both sides of the equation.
x=−2
The system is now solved.
x=−2,y=7
Graph if needed:
Answer:
A 48
D 0
O 7.5 (fraction form: 7 1/2)
E 21
Next line
E 34
N 36.8 (fraction form: 36 4/5)
L 9
T 8
Step-by-step explanation:
A (a)(c)
A (12)(4)
A 48
D 48 - (a + c)
D 48 - (12 + 4)
D 48 - 48
D 0
O (5a)/8
O 5(12)/8
O 60/8
O 7.5
E (ab)/c
E (12)(7)/(4)
E 84/4
E 21
Next line
E 2b + 5c
E 2(7) + 5(4)
E 14 + 20
E 34
N c(9.2)
N 4(9.2)
N 36.8
L 72/2c
L 72/2(4)
L 72/8
L 9
T (2/3)a
T (2/3)(12)
T 8
Answer:
For the first one
x= About 32.02
y= About 27.58
z= About 55.16
For the second one
x= 6
y= 12
z= about 16.97
Step-by-step explanation:
Their all really simple
These are special right triangles, a 45, 45, 90 and a 30, 60, 90 triangle. The formla for these triangles are shown in the picture below.
Now for the first one ]
Lets find Z first
Now this is a 45 special right triangle so we know the other side s 39 but the hypotenuse is n
(I’m using N becuase x and y is taken) So n is basically 39 (look at the image below) and just solve that. Now for x and y. We know its a 30, special right triangle. We know that 39 here is already the answer for N
so make an equation to find the n and you’ll get 27.58 for y. Now For x, its just doubled the y.
For the second one this is easier
We know that the x is (6) becuase its already in the radical number, now to find the hypotnuse, we double that and get 12. Now we know what y is becuase since the 2nd triangle is a 45/45/90, we know that 12 is y, the hypotnuse is just N and we just plug in the n with 12 and solve it!
Answer:
true
Step-by-step explanation:
Answer:
x/9 < 27
x < 27(9)
x < 243
Step-by-step explanation:
