Let A be the number of Dimes & B the number of Quarters, the linear equation is as follows:
A.D+B.Q=2.05
Answer:
The quotient of a number and 9 means n divided 9.
Answer:
y=x + p
Step-by-step explanation:
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
The system won't have a unique solution when what appears to be two lines is really only one line. The coefficients in an equation for a line only matter in ratio; if we multiply them all by the same non-zero scalar we'll still have the same line, of course with an infinite number of points on it, our infinite number of solutions.
2x - y = 8
6x - 3y = 4a
We need these to be the same equation, meaning they have to have all the same solutions. So we have to figure out the factor to multiply the first equation by to get the second.
That factor is obviously 3 because 3(2x)=6x and 3(-y)=-3y. So we need the constants in the same ratio,
3(8) = 4a
24 = 4a
a = 6
Answer: B. 6
