Question

which statement describes the graph of the system of equations below? 1.5x+0.2y=2.68 1.6x+0.3y=2.98

Answer 1

1.5x + 0.2y = 2.68....(0.3)
1.6x + 0.3y = 2.98....(-0.2)
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0.45x + 0.06y = 0.804 (result of multiplying by 0.3)
-0.32x - 0.06y = - 0.596 (result of multiplying by -0.2)
----------------------add
0.13x = 0.208
x = 0.208/0.13
x = 1.6

1.5x + 0.2y = 2.68
1.5(1.6) + 0.2y = 2.68
2.4 + 0.2y = 2.68
0.2y = 2.68 - 2.4
0.2y = 0.28
y = 0.28/0.2
y = 1.4

well...there is one solution....(1.6 , 1.4)

Answer 2

Answer with explanation:

The two system of equation are:

  1.→1.5 x + 0.2 y=2.68

  2.→1.6 x +0.3 y=2.98

Checking out as there is one solution, no solution or infinite number of solution for the system of equation

 $\rightarrow \frac{1.5}{1.6}\neq \frac{0.2}{0.3}\neq \frac{2.68}{2.98}$

So,this system has one solution.

→Drawing the graph of both the linear function, and finding that it has one solution.

⇒As the two lines intersects,that is at a single point, so it has unique solution which describes the graph of the system of equations .