Solve the system using the linear combination method: x + 5y= -3 2x + 7y=3
1 answer:
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Answer:
b
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1)
m = = -
, thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 2), then
2 = + c ⇒ c = 2 -
=
y = - x +
← in point- slope form
Multiply through by 4
4y = - x + 7 ( add x to both sides )
x + 4y = 7 → b