Y > 2x - 3
3y - x ≤ 6
 ↓
y = 2x - 3
3y - x = 6

 3(2x - 3) - x = 6
3(2x) - 3(3) - x = 6
 6x - 9 - x = 6
 6x - x - 9 = 6
 5x - 9 = 6
 + 9 + 9
 5x = 15
 5 5
 x = 3
y = 2x - 3
y = 2(3) - 3
y = 6 - 3
y = 3
(x, y) = (3, 3)

4 0

3 years ago

I need help with this one question 8r - 5q = 3 solve for q how do i go about this

KATRIN_1 [288]

8r - 3 = 5q --> q = (8r - 3)/5

6 0

4 years ago

eight ears of corn and a cantaloupe cost $2.37. six ears of corn and 3 cantaloupes cost $3.51. what does a cantaloupe cost?

abruzzese [7]

In the given question, there are two vital information's give. Firstly 8 ears of corn and 1 cantaloupe cost $2.37. On the other hand 6 ears of corn and 3 cantaloupes cost $3.51.
Let us assume the cost of 1 corn = X
Let us assume the cost of 1 cantaloupe = Y
Then
8X + Y = 2.37
Y = 2.37 - 8X
And
6X + 3Y = 3.51
Now we replace the value of Y we found from the first equation
Then
6X + 3(2.37 - 8X) = 3.51
6X - 24X + 7.11 = 3.51
-18X = 3.51 - 7.11
-18X = -3.6
X = 3.6/18
   = 0.20
So $0.20 is the value of 1 corn. Then the value of a cantaloupe
Y = 2.37 - 8X
   = 2.37 - (8 * 0.20)
   = 2.37 - 1.6
   = 0.77
So cost of a cantaloupe is $0.77

3 0

3 years ago