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kogti [31]
4 years ago
15

Which is the best approximation for the solution of the system of equations?

Mathematics
2 answers:
weqwewe [10]4 years ago
8 0
Set each equal since both equal y

x+1=y=3x-2
x+1=3x-2
minus x both sides
1=2x-2
add 2 both sides
3=2x
divide by 2
3/2=x
sub back

y=x+1
y=3/2+1
y=3/2+2/2
y=5/2

the best aproximation is
x=3/2
y=5/2
or the point (3/2,5/2)
in decimal
(1.5,2.5)
ivann1987 [24]4 years ago
3 0

Answer with Explanation:

The given system of equations are

y=x+1------(1)

y = 3 x -2--------(2)

Substituting the value of y from equation 1 in equation 2

→x +1= 3 x -2

→x-3 x =-2 -1

→ -2 x= -3

x=\frac{3}{2}

x=1.5

Substituting the value of, x in equation 1

y=\frac{3}{2}+1\\\\y=\frac{5}{2}

y=2.5

Ordered Pair (x,y)=(1.5, 2.5)

⇒The given options are

(0.45, 0.88)

(0.88, 0.65)

(0.88, 1.1)

(1.3, 0.88)

None of the Options are best Approximation of calculated Ordered Pair (x,y)=(1.5, 2.5).

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