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3 years ago

Solve each system by substitution y=-4x + 5 y= -2x + 1

2 answers:

5 0

y=−4x+5;y=−2x+1Step: Solvey=−4x+5for y:Step: Substitute−4x+5foryiny=−2x+1:y=−2x+1−4x+5=−2x+1−4x+5+2x=−2x+1+2x(Add 2x to both sides)−2x+5=1−2x+5+−5=1+−5(Add -5 to both sides)−2x=−4−2x−2=−4−2(Divide both sides by -2)x=2Step: Substitute2forxiny=−4x+5:y=−4x+5y=(−4)(2)+5y=−3(Simplify both sides of the equation)

x=2 and y=−3

MrRa [10]3 years ago

4 0

[-2x+1=-4x+5] is the first step and isolate for x -2x+1=-4x+5: x+2 then you got y=-3 the answer will be x=2, y=-3

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Roman55 [17]

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Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a ma

Allushta [10]

Solution :

Let A = Economics, B = Mathematics

n(A) = 311, n(B) = 243, $n(A \cap B) = 135$

a). So, $n(A \cup B) = n(A) +n(B) - n(A \cap B)$

= 311 + 243 - 135

= 419

b). n(A only) = 311 - 135

= 176

n(B only) = 243 - 135

= 108

Exactly one of these two courses

$=\frac{176+108}{500}$

= 0.568

c). Neither economics nor mathematics

$=\frac{500-419}{500}$

$=\frac{81}{500}$

= 0.162

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3 years ago