Answer: x=3 and y=−2
Step-by-step explanation:
x=−2y−1;4x−4y=20
Step: Solve x=−2y−1 for x:
Step: Substitute−2y−1 for x in 4x−4y=20:
4x−4y=20
4(−2y−1)−4y=20
−12y−4=20(Simplify both sides of the equation)
−12y−4+4=20+4(Add 4 to both sides)
−12y=24
−12y
−12
=
24
−12
(Divide both sides by -12)
y=−2
Step: Substitute−2 for y x=−2y−1:
x=−2y−1
x=(−2)(−2)−1
x=3(Simplify both sides of the equation)
Answer: y>-3 and x is all real numbers
Answer:
<h2><em><u>2</u></em></h2>
Step-by-step explanation:
<em><u>To</u></em><em><u> </u></em><em><u>find</u></em><em><u> </u></em><em><u>value</u></em><em><u>:</u></em>
2x + 3z
<em><u>Given</u></em><em><u> </u></em><em><u>values</u></em><em><u>:</u></em>
x = 4, y = 3 and z = -2
<em><u>Solution</u></em><em><u>:</u></em>
2x + 3z
<em>(</em><em>Putting</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>4</em><em> </em><em>and</em><em> </em><em>z</em><em> </em><em>=</em><em> </em><em>-2</em><em>)</em>
= 2(4) + 3(-2)
= 8 - 6
= <em><u>2 (Ans)</u></em>
Answer:
Step-by-step explanation:
question no . 5
ratio of angle L
take angle as reference angle
using cos rule
cos L = base / hypotenuse
= 4/5
ratio of angle N
take angle N as reference angle
using sin rule
sin N = opposite / hypotenuse
= 4/5
for measure of angle L
cos L = 4/5
cos L = 0.8
L = 
L = 36.9
for meanure of angle N
sin N = 4/5
sin N = 0.8
N = 
N = 53.1
He spilled 1 and 5/8 cups because 2-3/8= 1 5/8. To check that, use 1 5/8+ 3/8= 2 cups.
