if 7x=4y, and y/z=7/5 , then x/z=
Rearrange 7x=4y
<=> y = 7x/4
Substitute into y/z = 7/5
<=> 7x/4z = 7/5
Cancelling common factor (7) and rearranging:
.: x/z = 4/5
To find the value of x/z, we need to relate x and z to y. Let's break down the given equations and solve for x and y separately:
Equation 1: 7x = 4y
We can solve this equation for x by dividing both sides by 7:
x = (4y) / 7
Equation 2: y/z = 7/5
To find the value of y in terms of z, we can rearrange the equation as follows:
y = (7z) / 5
Now, we have expressions for x and y in terms of y and z, respectively. To find x/z, we substitute the expressions for x and y that we just derived into the equation:
x/z = (4y/7) / z
Substituting the expression for y:
x/z = (4 * (7z/5)) / 7
Simplifying:
x/z = (28z/5) / 7
Now, cancel out the common factor of 7 in the numerator and denominator:
x/z = (4z/5)
Therefore, the value of x/z is 4z/5.