Please help with all work/explanation in answer i will mark brainliest

see explanation

Step-by-step explanation:

(10)

let x represent blueberry pie and y blackberry pie, then

x + 2y = 53 → (1)

10x + 3y = 224 → (2)

Multiplying (1) by - 10 and adding to (2) will eliminate x

- 10x - 20y = - 530 → (3)

Add (2) and (3) term by term to eliminate x

0 - 17y = - 306

- 17y = - 306 ( divide both sides by - 17 )

y = 18

Substitute y = 18 into either of the 2 equations and solve for x

Substituting into (1)

x + 2(18) = 53

x + 36 = 53 ( subtract 36 from both sides )

x = 17

Then

the cost of 1 blueberry pie is $17 and 1 blackberry pie is $18

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The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

(11)

m =

with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (0, 3)

m = = -

The line crosses the y- axis at (0, 3 ) ⇒ b = 3

y = - x + 3 ← equation of line

(12)

(x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (4, 2)

m = = , then

y = x + b ← is the partial equation

To find b substitute either of the 2 points into the partial equation

Using (3, 1 ), then

1 = + b ⇒ b = 1 - =

y = x + ← equation of line