The value of the triangle is 3, the value of the square is -2, and the value of the star is 7 after using the concept of linear equation in two variables.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A shape puzzle is given in the picture.
Let's assume x represents the triangle shape.
Let's assume y represents the square shape.
Let's assume z represents the star shape.
The equations become:
2x - 5 = 1
x + y = 1
x - 2y = z
The above equations represent the linear equation in three variables.
After solving the above three equations:
2x = 1 + 5
2x = 6
x = 6/2
x = 3
Plug the value of x in the above equation:
3 + y = 1
y = 1 -3
y = -2
Plug the value of x and y in the third equation:
3 -2(-2) = z
z = 3+4 = 7
Thus, the value of the triangle is 3, the value of the square is -2, and the value of the star is 7 after using the concept of linear equation in two variables.
Learn more about the linear equation here:
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