Question

which of these equations has (1.5,4) one of the solutions? a)20x+ 5y= 7.5 b) 20x + 5y= 50 c) 20x+ 5y=98 d)20x+ 5y= 5.0​

Answer 1

Answer:

b. 20 + 5 = 50

Step-by-step explanation:

Answer 2

The correct option is  b) 20x + 5y= 50 that satisfies (1.5,4)

Explanation: If an equation is written in the form axe + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are x+4y = 3 and -3x+5y = 2.

A specific point on the graph represents the solution of a linear equation in two variables, ax+by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b. Basically, there are infinitely many solutions to a linear equation with two variables.

Given we want to have a solution (1.5, 4). As this is in parenthesis, it is an ordered set. That means: $x=1.5\ y=4$ is the solution.

a) Given,

$20x+ 5y= 7.5\\\Rightarrow 20(1.5)+ 5(4)\\\Rightarrow 30+20=50\neq7.5$

So this is not the equation that satisfies the values.

b) Given,

$20x + 5y= 50\\\Rightarrow 20(1.5)+5(4)\\\Rightarrow 50=50$

So this is the equation that satisfies the values.

c) Given,

$20x+ 5y= 7.5\\\Rightarrow 20(1.5)+ 5(4)\\\Rightarrow 30+20=50\neq98$

So this is not the equation that satisfies the values.

d) Given,

$20x+ 5y= 7.5\\\Rightarrow 20(1.5)+ 5(4)\\\Rightarrow 30+20=50\neq5.0$

So this is not the equation that satisfies the values.

So the correct option is b)

To learn more about linear equations in two variables, click on the links below:

https://brainly.in/question/28293546?msp_srt_exp=5

https://brainly.in/question/48200772

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