Michelle has an area in her garden for some plants and she wants to plant both tomatoes and bell peppers she can purchase tomato plants for $1.50 and she can purchase bell pepper plants were two dollars Michelle is counted up enough space in her garden for a total of 130 plans she has $225 to spend how many plants can she purchased for her garden

Michelle purchased 70 tomato plants and 60 bell pepper plants.

Step-by-step explanation:

Lets create a system of equations. Lets substitute x for the amount of tomato plants and y for bell pepper plants.

x+y=130

1.50x+2y=225

Lets use the substitution method.

Isolate y.

y=130-x

Substitute 130-x for y in the second equation.

x1.50+2(130-x)=225

Use the distributive property.

1.50x+260-2x=225

Combine like terms.

-0.5x+260=225

Subtract 260 on both sides.

-0.5x=35 or 0.5x=35

Now divide both sides by -0.5. Remember that dividing by a decimal or fraction actually multiplies by the reciprocal. So 35 divided by 1/2 would equal 35 multiplied by 2/1.

x=70

Substitute x in the equation to solve for y.

1.50(70)+2y=225

Multiply.

105+2y=225

Subtract 105 on both sides.

2y=120

Divide both sides by 2 to isolate y.

y=60

X is equal to 70 and y is equal to 60.

Just to check, substitute our known values for variables.

1.5(70)+2(60)=225

Multiply.

105+120=225.

Add.

225=225. Its correct!

Hope this helps!

since both sides equal, there are infinitely many olutions.

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step-by-step explanation: