If you have multiple equations with multiple variables, you can either do clever substitutions, or turn it into a matrix on which you can perform linear combinations or multiplications (Gauss elimination)
1 1 1 1
2 1 -1 8
1 -1 1 -5
(note how the above 3 rows represent the 3 equations, just got rid of the variables, plus sign and equals sign)
subtract row1 from row3, that eliminates x and z from row 3.
1 1 1 1
2 1 -1 8
0 -2 0 -6
divide row3 by -2, that will give y a factor of 1
1 1 1 1
2 1 -1 8
0 1 0 3
The last row now says y=3
Answer:
2.5 gallons of the 20% solution must be replaced by the 36% solution.
Step-by-step explanation:
Answer:
2 units
Step-by-step explanation:
Vpyramid = ⅓ x base area x height
70 = ⅓ x base area x 6
70 = 2 x base area
base area = 70/2 = 35 units
Vprism = base area x height
70 = 35 x height
height = 70/35 = 2 Units
Answer:
x < 5
Step-by-step explanation:
Hi,
If you have a line under the < or > sign, it means x can be less than OR EQUAL TO, since x has to be less than 5, neither of those signs can work. Now, < means less than and > means greater than. For this, x < 5 is the correct answer because we know that x has to be less than 5.
I hope this helps :)
