Answer:
Since one equation already has one variable isolated(x), it gives you a "value" to input into the other equation to use to solve for the other variable(y).
10(y-3) + 10y = 1
10y - 30 + 10y = 1
20y - 30 = 1
20y = 31
y = 31/20 or 1.55
Now you can use this value to solve for x in one of the original equations.
x = (31/20) - 3
x = -29/30 or -1.45
Hope this helps!
Step-by-step explanation:
the factors and prime factorization of 14 and 28. (The biggest common factor number is the GCF number) So the greatest common factor 14 and 28 is 14.Jul
Answer: y=-6/5x+3
Step-by-step explanation:
To find the equation of the line that passes through the points, you want to first find the slope by using the formula
, then solve for the y-intercept.

Now that we have the slope, we can plug in a given point and solve for the y-intercept.
15=-6/5(-10)+b [multiply]
15=12+b [subtract both sides by 12]
b=3
Now that we have the y-intercept, we know the equation is y=-6/5x+3.
Answer:
We have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.
Step-by-step explanation:
The hypotheses testing procedure in the given scenario is
H0: Husband’s perception would be similar to the wife’s i.e. μh=μw
Ha: Husband’s perception would be higher than the wife’s i.e. μh>μw
Level of significance: α=0.05
Test statistic: t=2.776
Critical region: t>t(0.05,9)=1.833
Conclusion: As the calculated value of t lies in critical region, so we reject our null hypothesis at 0.05 level of significance. Thus, we have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.