Jasmine and Daniel each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Jasmine spent $145 on 13 square feet of grass and 9 geraniums. Daniel spent $100 on 4 square feet of grass and 12 geraniums. What is the cost of 1 square foot of grass and 1 geranium?

Cost of 1 ft²: $7

Cost of 1 ft² of geranium: $6

Step-by-step explanation:

Let x be the cost of a ft² of grass

Let y be the cost of a ft² of geranium

13x + 9y = 145

4x + 12y = 100

x + 3y = 25

x = 25 - 3y

13(25 - 3y) + 9y = 145

325 - 39y + 9y = 145

180 = 30y

y = 6

x = 25 - 3(6)

x = 7

50-60=10

step-by-step explanation:

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0